{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Week1 Homework\n",
    "=======\n",
    "> 在Capital Bikeshare （美国Washington, D.C.的一个共享单车公司）提供的自行车数据上进行回归分析。训练数据为2011年的数据，要求预测2012年每天的单车共享数量\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>instant</th>\n",
       "      <th>dteday</th>\n",
       "      <th>season</th>\n",
       "      <th>yr</th>\n",
       "      <th>mnth</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
       "      <th>atemp</th>\n",
       "      <th>hum</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>casual</th>\n",
       "      <th>registered</th>\n",
       "      <th>cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>2011-01-01</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.344167</td>\n",
       "      <td>0.363625</td>\n",
       "      <td>0.805833</td>\n",
       "      <td>0.160446</td>\n",
       "      <td>331</td>\n",
       "      <td>654</td>\n",
       "      <td>985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>2011-01-02</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.363478</td>\n",
       "      <td>0.353739</td>\n",
       "      <td>0.696087</td>\n",
       "      <td>0.248539</td>\n",
       "      <td>131</td>\n",
       "      <td>670</td>\n",
       "      <td>801</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>2011-01-03</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.196364</td>\n",
       "      <td>0.189405</td>\n",
       "      <td>0.437273</td>\n",
       "      <td>0.248309</td>\n",
       "      <td>120</td>\n",
       "      <td>1229</td>\n",
       "      <td>1349</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>2011-01-04</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.212122</td>\n",
       "      <td>0.590435</td>\n",
       "      <td>0.160296</td>\n",
       "      <td>108</td>\n",
       "      <td>1454</td>\n",
       "      <td>1562</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>2011-01-05</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.226957</td>\n",
       "      <td>0.229270</td>\n",
       "      <td>0.436957</td>\n",
       "      <td>0.186900</td>\n",
       "      <td>82</td>\n",
       "      <td>1518</td>\n",
       "      <td>1600</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   instant      dteday  season  yr  mnth  holiday  weekday  workingday  \\\n",
       "0        1  2011-01-01       1   0     1        0        6           0   \n",
       "1        2  2011-01-02       1   0     1        0        0           0   \n",
       "2        3  2011-01-03       1   0     1        0        1           1   \n",
       "3        4  2011-01-04       1   0     1        0        2           1   \n",
       "4        5  2011-01-05       1   0     1        0        3           1   \n",
       "\n",
       "   weathersit      temp     atemp       hum  windspeed  casual  registered  \\\n",
       "0           2  0.344167  0.363625  0.805833   0.160446     331         654   \n",
       "1           2  0.363478  0.353739  0.696087   0.248539     131         670   \n",
       "2           1  0.196364  0.189405  0.437273   0.248309     120        1229   \n",
       "3           1  0.200000  0.212122  0.590435   0.160296     108        1454   \n",
       "4           1  0.226957  0.229270  0.436957   0.186900      82        1518   \n",
       "\n",
       "    cnt  \n",
       "0   985  \n",
       "1   801  \n",
       "2  1349  \n",
       "3  1562  \n",
       "4  1600  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dpath = '.\\\\data\\\\'\n",
    "data = pd.read_csv(dpath + 'day.csv')\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "分割训练数据和测试数据\n",
    "--------------------\n",
    ">根据数据集介绍，有yr (0: 2011, 1:2012)，可以用来分割数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "yr and dteday is  consistent\n"
     ]
    }
   ],
   "source": [
    "#测试yr dteday 一致性\n",
    "check_result = True\n",
    "# or\n",
    "# for index in data.index:\n",
    "#      row = data.loc[index]\n",
    "for index,row in data.iterrows() :\n",
    "    if row['yr'] == 0:\n",
    "        if row['dteday'][0:4] != '2011':\n",
    "            check_result = False\n",
    "            break\n",
    "    elif row['yr'] == 1:\n",
    "        if row['dteday'][0:4] != '2012':\n",
    "            check_result = False\n",
    "            break\n",
    "    else:\n",
    "        check_result = False\n",
    "        break\n",
    "print('yr and dteday is ', 'consistent' if check_result else 'inconsistent')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#分割数据集\n",
    "data_train_raw = data[data.yr == 0]\n",
    "data_test_raw = data[data.yr == 1]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "数据探索\n",
    "--------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#特征 'instant' 记录的顺序可以有日期代替，于问题无意义，丢掉\n",
    "data_train_drop = data_train_raw.drop(['instant'], axis = 1)\n",
    "data_test_drop = data_test_raw.drop(['instant'], axis = 1)\n",
    "\n",
    "#特征 'yr' 在本问题中属于常量，丢弃\n",
    "data_train_drop = data_train_drop.drop(['yr'], axis = 1)\n",
    "data_test_drop = data_test_drop.drop(['yr'], axis = 1)\n",
    "\n",
    "#月份已包含在数据集中，丢弃\n",
    "data_train_drop = data_train_drop.drop(['mnth'], axis = 1)\n",
    "data_test_drop = data_test_drop.drop(['mnth'], axis = 1)\n",
    "\n",
    "#dteday 为字符串，转换为天数并且丢弃年份\n",
    "data_train = data_train_drop.copy()\n",
    "data_test = data_test_drop.copy()\n",
    "\n",
    "#data_train['dteday'] = data_train['dteday'].map(lambda x: int(x[8:10]))\n",
    "#data_test['dteday'] = data_test['dteday'].map(lambda x: int(x[8:10]))\n",
    "\n",
    "data_train['dteday'] = pd.to_datetime(data_train['dteday'], yearfirst=True, infer_datetime_format=True).dt.dayofyear\n",
    "data_test['dteday'] = pd.to_datetime(data_test['dteday'], yearfirst=True, infer_datetime_format=True).dt.dayofyear"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>dteday</th>\n",
       "      <th>season</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
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       "      <th>0</th>\n",
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       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.344167</td>\n",
       "      <td>0.363625</td>\n",
       "      <td>0.805833</td>\n",
       "      <td>0.160446</td>\n",
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       "      <td>2</td>\n",
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       "      <td>0.353739</td>\n",
       "      <td>0.696087</td>\n",
       "      <td>0.248539</td>\n",
       "      <td>131</td>\n",
       "      <td>670</td>\n",
       "      <td>801</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.196364</td>\n",
       "      <td>0.189405</td>\n",
       "      <td>0.437273</td>\n",
       "      <td>0.248309</td>\n",
       "      <td>120</td>\n",
       "      <td>1229</td>\n",
       "      <td>1349</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.212122</td>\n",
       "      <td>0.590435</td>\n",
       "      <td>0.160296</td>\n",
       "      <td>108</td>\n",
       "      <td>1454</td>\n",
       "      <td>1562</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.226957</td>\n",
       "      <td>0.229270</td>\n",
       "      <td>0.436957</td>\n",
       "      <td>0.186900</td>\n",
       "      <td>82</td>\n",
       "      <td>1518</td>\n",
       "      <td>1600</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   dteday  season  holiday  weekday  workingday  weathersit      temp  \\\n",
       "0       1       1        0        6           0           2  0.344167   \n",
       "1       2       1        0        0           0           2  0.363478   \n",
       "2       3       1        0        1           1           1  0.196364   \n",
       "3       4       1        0        2           1           1  0.200000   \n",
       "4       5       1        0        3           1           1  0.226957   \n",
       "\n",
       "      atemp       hum  windspeed  casual  registered   cnt  \n",
       "0  0.363625  0.805833   0.160446     331         654   985  \n",
       "1  0.353739  0.696087   0.248539     131         670   801  \n",
       "2  0.189405  0.437273   0.248309     120        1229  1349  \n",
       "3  0.212122  0.590435   0.160296     108        1454  1562  \n",
       "4  0.229270  0.436957   0.186900      82        1518  1600  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_train.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>dteday</th>\n",
       "      <th>season</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
       "      <th>atemp</th>\n",
       "      <th>hum</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>casual</th>\n",
       "      <th>registered</th>\n",
       "      <th>cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>365</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.370000</td>\n",
       "      <td>0.375621</td>\n",
       "      <td>0.692500</td>\n",
       "      <td>0.192167</td>\n",
       "      <td>686</td>\n",
       "      <td>1608</td>\n",
       "      <td>2294</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>366</th>\n",
       "      <td>2</td>\n",
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       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.273043</td>\n",
       "      <td>0.252304</td>\n",
       "      <td>0.381304</td>\n",
       "      <td>0.329665</td>\n",
       "      <td>244</td>\n",
       "      <td>1707</td>\n",
       "      <td>1951</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>367</th>\n",
       "      <td>3</td>\n",
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       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.150000</td>\n",
       "      <td>0.126275</td>\n",
       "      <td>0.441250</td>\n",
       "      <td>0.365671</td>\n",
       "      <td>89</td>\n",
       "      <td>2147</td>\n",
       "      <td>2236</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>368</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>0.107500</td>\n",
       "      <td>0.119337</td>\n",
       "      <td>0.414583</td>\n",
       "      <td>0.184700</td>\n",
       "      <td>95</td>\n",
       "      <td>2273</td>\n",
       "      <td>2368</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>369</th>\n",
       "      <td>5</td>\n",
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       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.265833</td>\n",
       "      <td>0.278412</td>\n",
       "      <td>0.524167</td>\n",
       "      <td>0.129987</td>\n",
       "      <td>140</td>\n",
       "      <td>3132</td>\n",
       "      <td>3272</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     dteday  season  holiday  weekday  workingday  weathersit      temp  \\\n",
       "365       1       1        0        0           0           1  0.370000   \n",
       "366       2       1        1        1           0           1  0.273043   \n",
       "367       3       1        0        2           1           1  0.150000   \n",
       "368       4       1        0        3           1           2  0.107500   \n",
       "369       5       1        0        4           1           1  0.265833   \n",
       "\n",
       "        atemp       hum  windspeed  casual  registered   cnt  \n",
       "365  0.375621  0.692500   0.192167     686        1608  2294  \n",
       "366  0.252304  0.381304   0.329665     244        1707  1951  \n",
       "367  0.126275  0.441250   0.365671      89        2147  2236  \n",
       "368  0.119337  0.414583   0.184700      95        2273  2368  \n",
       "369  0.278412  0.524167   0.129987     140        3132  3272  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_test.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">### 数据基本信息"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 365 entries, 0 to 364\n",
      "Data columns (total 13 columns):\n",
      "dteday        365 non-null int64\n",
      "season        365 non-null int64\n",
      "holiday       365 non-null int64\n",
      "weekday       365 non-null int64\n",
      "workingday    365 non-null int64\n",
      "weathersit    365 non-null int64\n",
      "temp          365 non-null float64\n",
      "atemp         365 non-null float64\n",
      "hum           365 non-null float64\n",
      "windspeed     365 non-null float64\n",
      "casual        365 non-null int64\n",
      "registered    365 non-null int64\n",
      "cnt           365 non-null int64\n",
      "dtypes: float64(4), int64(9)\n",
      "memory usage: 39.9 KB\n"
     ]
    }
   ],
   "source": [
    "data_train.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>dteday</th>\n",
       "      <th>season</th>\n",
       "      <th>holiday</th>\n",
       "      <th>weekday</th>\n",
       "      <th>workingday</th>\n",
       "      <th>weathersit</th>\n",
       "      <th>temp</th>\n",
       "      <th>atemp</th>\n",
       "      <th>hum</th>\n",
       "      <th>windspeed</th>\n",
       "      <th>casual</th>\n",
       "      <th>registered</th>\n",
       "      <th>cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "      <td>365.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>183.000000</td>\n",
       "      <td>2.498630</td>\n",
       "      <td>0.027397</td>\n",
       "      <td>3.008219</td>\n",
       "      <td>0.684932</td>\n",
       "      <td>1.421918</td>\n",
       "      <td>0.486665</td>\n",
       "      <td>0.466835</td>\n",
       "      <td>0.643665</td>\n",
       "      <td>0.191403</td>\n",
       "      <td>677.402740</td>\n",
       "      <td>2728.358904</td>\n",
       "      <td>3405.761644</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>105.510663</td>\n",
       "      <td>1.110946</td>\n",
       "      <td>0.163462</td>\n",
       "      <td>2.006155</td>\n",
       "      <td>0.465181</td>\n",
       "      <td>0.571831</td>\n",
       "      <td>0.189596</td>\n",
       "      <td>0.168836</td>\n",
       "      <td>0.148744</td>\n",
       "      <td>0.076890</td>\n",
       "      <td>556.269121</td>\n",
       "      <td>1060.110413</td>\n",
       "      <td>1378.753666</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.059130</td>\n",
       "      <td>0.079070</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.022392</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>416.000000</td>\n",
       "      <td>431.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>92.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.325000</td>\n",
       "      <td>0.321954</td>\n",
       "      <td>0.538333</td>\n",
       "      <td>0.135583</td>\n",
       "      <td>222.000000</td>\n",
       "      <td>1730.000000</td>\n",
       "      <td>2132.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>183.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.479167</td>\n",
       "      <td>0.472846</td>\n",
       "      <td>0.647500</td>\n",
       "      <td>0.186900</td>\n",
       "      <td>614.000000</td>\n",
       "      <td>2915.000000</td>\n",
       "      <td>3740.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>274.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.656667</td>\n",
       "      <td>0.612379</td>\n",
       "      <td>0.742083</td>\n",
       "      <td>0.235075</td>\n",
       "      <td>871.000000</td>\n",
       "      <td>3632.000000</td>\n",
       "      <td>4586.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>365.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.849167</td>\n",
       "      <td>0.840896</td>\n",
       "      <td>0.972500</td>\n",
       "      <td>0.507463</td>\n",
       "      <td>3065.000000</td>\n",
       "      <td>4614.000000</td>\n",
       "      <td>6043.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           dteday      season     holiday     weekday  workingday  weathersit  \\\n",
       "count  365.000000  365.000000  365.000000  365.000000  365.000000  365.000000   \n",
       "mean   183.000000    2.498630    0.027397    3.008219    0.684932    1.421918   \n",
       "std    105.510663    1.110946    0.163462    2.006155    0.465181    0.571831   \n",
       "min      1.000000    1.000000    0.000000    0.000000    0.000000    1.000000   \n",
       "25%     92.000000    2.000000    0.000000    1.000000    0.000000    1.000000   \n",
       "50%    183.000000    3.000000    0.000000    3.000000    1.000000    1.000000   \n",
       "75%    274.000000    3.000000    0.000000    5.000000    1.000000    2.000000   \n",
       "max    365.000000    4.000000    1.000000    6.000000    1.000000    3.000000   \n",
       "\n",
       "             temp       atemp         hum   windspeed       casual  \\\n",
       "count  365.000000  365.000000  365.000000  365.000000   365.000000   \n",
       "mean     0.486665    0.466835    0.643665    0.191403   677.402740   \n",
       "std      0.189596    0.168836    0.148744    0.076890   556.269121   \n",
       "min      0.059130    0.079070    0.000000    0.022392     9.000000   \n",
       "25%      0.325000    0.321954    0.538333    0.135583   222.000000   \n",
       "50%      0.479167    0.472846    0.647500    0.186900   614.000000   \n",
       "75%      0.656667    0.612379    0.742083    0.235075   871.000000   \n",
       "max      0.849167    0.840896    0.972500    0.507463  3065.000000   \n",
       "\n",
       "        registered          cnt  \n",
       "count   365.000000   365.000000  \n",
       "mean   2728.358904  3405.761644  \n",
       "std    1060.110413  1378.753666  \n",
       "min     416.000000   431.000000  \n",
       "25%    1730.000000  2132.000000  \n",
       "50%    2915.000000  3740.000000  \n",
       "75%    3632.000000  4586.000000  \n",
       "max    4614.000000  6043.000000  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_train.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dteday        0\n",
       "season        0\n",
       "holiday       0\n",
       "weekday       0\n",
       "workingday    0\n",
       "weathersit    0\n",
       "temp          0\n",
       "atemp         0\n",
       "hum           0\n",
       "windspeed     0\n",
       "casual        0\n",
       "registered    0\n",
       "cnt           0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_train.isnull().sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">### 单变量分析\n",
    ">&emsp;dteday, season, year,mounth, weekday, workday等特征意义明显，分布明确固定，在此不做分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4b46d4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#holiday 散点图\n",
    "plt.scatter(list(range(0,data_train.shape[0])),data_train.holiday)\n",
    "plt.ylabel('Is holiday')\n",
    "plt.yticks([0, 1])\n",
    "plt.title('scatter diagram for holiday')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cBCyR9CdAkbui68ia6IqYAKxOw6cPOboSq90QLUtPt5GKZzjLKVtd2Miq7cfR7vU30HHVs9ukpsfb1hyPjeYdaq+/2nj3+hvOil/onj6d7B7TPpLGA1eQ3VdaDuwDnBIRv8n3+pM0H3hzRJwu6RDgYrKroPkRcU9uHZeTu38l6eC0/MeAHwBvi4jpkg4HPhgRb5a0EHg6Ij6T5lmZ1nV/s20pQ68/M7NtTdFef21LVI1IqgDViHg29eD7PvDKiHi+zaENyInKzGzoiiaqsjX9jSNr9quS3a96T9mTlJmZtVapElVErAMGza5mZvbiUbZef2ZmZv04UZmZWak5UZmZWak5UZmZWak5UZmZWak5UZmZWak5UZmZWakVSlSSLigyzszMbKQVvaJ6fYNxx4xkIGZmZo0M+GQKSe8h+zHDPSTlfxtqR+DHrQzMzMwMBn+E0lXAd4DzgbNy49dFxBMti8rMzCwZLFFFRNwv6a/rJ0ia5GRlZmatVuSK6s1kP/0e9P8F3gD2aFFcZmZmwCCJKiLenP7uPjrhmJmZ9Ve0e/oh6dd3kXSapAslTWttaGZmZsW7p18ErJc0C/gQ8ADw1ZZFZWZmlhRNVBsj+83644AvRMQXyLqom5mZtVTRX/hdJ+ls4DTgMEkVoNq6sMzMzDJFr6hOBp4D3hERvwO6gUUti8rMzCwZ9IoqXT1dGRFH1cZFxIPAV1oZmJmZGRS4ooqITWQdKSaMQjxmZmb9FL1H9Sxwp6SbgWdqIyPifS2JyszMLCmaqG5MLzMzs1FVKFFFxBWSOoFpEbGqxTGZmZn1KfpkimOBFcB30/vZkq5vZWBmZmZQvHv6QuBAYC1ARKwA/Pw/MzNruaE8meKpunEx0sGYmZnVK9qZYqWktwIVSXsB7wN+0rqwzMzMMkWvqP4W2Jvs6RRfB/4AfKBVQZmZmdUU7fW3HvhoepmZmY2aQolK0iuBDwLT8/NExJGtCcvMzCxT9B7VNcCXgEuATa0Lx8zMrL+iiWpjRFzU0kjMzMwaGDBRSZqUBv9T0nuBb5N1qAAgIp5oYWxmZmaDXlEtI/u+lNL7BblpAezRiqDMzMxqBkxUEbE7gKSxEfFsfpqksa0MzMzMDIp/j6rRl3v9hV8zM2u5we5RvZzsZ+c7Je3PC02ALwHGtTg2MzOzQe9RzQVOB3YFLsyNXwd8pEUxmZmZ9RnsHtUVwBWSToiI60YpJjMzsz5FH6F0naQ3kT3vb2xu/D+2KjAzMzMo/sOJXwJOJns4rYATgd1aGJeZmRlQvNffn0bE24EnI+ITwMHA1NaFZWZmlimaqDakv+slTQF68S/8mpnZKCj6rL8bJHUBi4Cfkz2V4pKWRWVmZpYU7Uxxbhq8TtINwNgGP01vZmY24op2phgn6R8kXRwRzwE7SXpzi2MzMzMrfI/qMrKnph+c3v8WOK8lEZmZmeUUTVR7RsSnyTpREBEbeOFxSmZmZi1TNFE9L6mTrBMFkvYk97tUZmZmrVK01985wHeBqZK+BhxC9gxAMzOzliqaqN4O3AhcC9wLvD8iHm9ZVGZmZknRRHUZcCjwerJf9V0h6YcR8YWWRWZmZkbx71H9QNJ/A68BjgDeTfaAWicqMzNrqUKJStL3gfHAT4EfAa+JiEdbGZiZmRkU7/V3B/A8sA+wH7BP6gVoZmbWUkWb/v43gKQdgDPI7lm9HNi+daGZmZkVb/r7G+C1wKuBB4BLyZoAzczMWqpor79O4EJgWURsbGE8ZmZm/RRt+lvU6kDKJv2syVsj4t9asfzFy1ez8Pq7WLuhF4CJ46q8ab9duOH2h/vGjat2sH21wtr1vUzorCLBk+t7t1jW+DEVjj+gmyW/eow1azf0lV27vpex1Q429G5uGEN++VO6Olkwdwbz9u9uGOuim1axZu0GxlY7eG7jZjZH9gytcWMqrH9+ExM6qzy/cRPrc+vqEGwOqEhsiqCrrkxtm5f86jFWr92ASI8+yc3bldvuRtM7B9i+ieOqnHPs3gAsumnVFutoVB+9mzaTX9z4MRU+efy+/epl8fLVnP2tOwasV6Dfdp5z7N59y8jXZ35f5Yfz+6O+/DPP9VK/6q4G8wINj7HacVJ0nw9UrlY2v57avumu24YisTSKOb8Pi9RZ/TKKGlMREdFXtx2Ctx40jfPm7duvTuqPo4HOo48tvpOv3fpgX9n88dSojvPbOaWrkyNmTu47P2rnUf58arTtgy2zfl/WxwhQ7WCL8yD/GTPYMTHSFNHstN02SRLZdjX+FCm+nOnADRGxz2Ble3p6YunSpYWXvXj5ahZcczu9m8tV953VCue/pdGH8p1s6N3UxsiGr0NQ6RC9m4Zf15UO8dkTZ/V9uPzd1SsY6sFVrYhF82cBFK7PzmqFE17dzXXLVg+5/qsd2YfZYIdY0X3eqFyt7EDHcm0brv7ZQ4Me781iHso+LLrdQ3HanGn07DZpSPvt/Lfsy9IHnuDKWx/cYnqlQ5x64NQt9mu1QyCGfaw2mr/RuPy+/NjiOxvGWESzY2IoJC2LiJ5By5UhUUn6O+Cv0ttLgF2AB2pXM5IWAusi4rOSFgAnkXXk+HZEnJOSyneAJWRPeJ8HvAr4FFABHo+IP5N0IPB5sqbMDcAZEbFK0t5kHUTGkPWEPAE4FzgOWAXcHBELmsU/1ER1yD/9gNVrNwxesA26uzr58VlH9r0vc6yjqVYvW1Mf3V1ZR9mhzF/777mViu7z+nIDlc0bjW1opYrEyyeMHdJ+6+7q5HdPPdt0u9tdJ7V9uefZ/7VVcTQ6JoaiaKIqeo+qZSS9mqwn4UFkrUm3AaeRJZRas9tJwNGS3gDsBRyYyl4v6TDgQWAGWeJ5r6TJwMXAYRFxn6RJaTm/SuM2SjqKLJGdQPYF5i9ExNckjSFLbmcB+0TE7CZxnwmcCTBt2rQhbfOaEn/w18dW5lhHU60etqY+hjPvaHyYFd3njcYX2aZtOUlBFv9Q992atRuaNjHXltlOte3Z2jhG6/Oh6PeoWulQsiujZyLiaeBbZD0Md5I0RdIs4MmIeBB4Q3otB34OzCRLXJBdgd2ahucAP4yI+wAi4ok0fgJwjaSVwOfInq4B2ReZPyLpw8Bu6WdMBhQRX46InojomTx58pA2eEpXeb+CVh9bmWMdTbV62Jr6mNLVOeT5K2r9r+kU3eeNxhfZntHYhlaqSEPeb1O6Ogfc7nbXSW17tjaO0fp8KEOialZT1wLzgZOBb+TKnh8Rs9PrFRHx72naM3XLbPSvwrnAknTf6VhgLEBEXAX8OVlz4E2Shn8tW8CCuTOytuOS6axW+m6+1iyYO4POaqVNEW29DmX3h7ZGpUN99bJg7oxhnTTVSraModRnZ7XCqQdNHVb9VztEkUOs6D5vVK5WdqBjubYNRY73ZjEPZR8W3e6hOPWgqUPebwvmzuDUg6Y2nF7pUMP9Wu3QVh2rjeZvNC6/L5vFWESzY6IVypCofgjMSz93Px44nuw7Wt8ATiFLVtemsjcBf5W+eIykbkk7NVjmT4HXSdo9las1/U0AVqfh02uFJe0B3BsRXwSuJ3v6xjpgx5HayLx5+3ez6MRZdHVW+8ZNHFfltDnT+o0bV+1g4rgqIuvVNXFctcHSsh45p82ZRndXZ7+yIusV10x++d1dnQ1vjM7bv5vz37Jv37I7qx19HwRK666tc1zdumrlav+11ZepbXPt3o0azJvf7kbTB9q+ieOqXHjSbBbNn9VwHY3qo35x48dU+jpSQFYfF548e9B6rd/ORfOzZdTXZ35f5Ydr++O8eftuUb7RquvnXXTiLC48aXbDY6y2rKL7vFm5Wtn6Y7m2b/Lb0Ox4z6+jWcz5fThYnTVaRlFjKupXtx3KOlKcN2/ffnUC/Y+jZufRefP25bQ50/qVrR1P9fu1Fnt+O7u7OvudH7XzKH8+1W97/fyNxuX3ZaMYgYbnQZFjp1VK2ZkiIj6fxt9J1hHiiFzZ9wPvTG+fJruftYm6HnqSjiG7B9UBPBoRr5d0MHAF8BjwA+BtETFd0tlpOb3A78i6pT8h6SqypPWdkexMYWZm21ivv22dE5WZ2dAVTVRlaPozMzNryonKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKzYnKzMxKbbt2B/Bit3j5ahZefxdrN/QWKi8ggO6uTo6YOZkbbn94i3k7BJvjhbIA46odbF+tsHZ9L2OrHWzo3TySm9Fv3QfvMYm71qzri2tcNft/aH2BdTYrO3FclTftt0vD7a1NP+fYvZm3fzcfW3wnX7/tITZFbFEOoCIxZ4+J/WIcyrrysdbqdEpXJ9Nf2slP7nmir87HVERE0Iqqrq37yfW9/fZzu9WOvdFQ2+dAw3Oodize//sNrFm7gSldnSyYO4N5+3f3K1d/Dg52vI4fU+H4A7q3OD6qHTTd10WPqWYanVdDXeb4MRVmT53Q7xgdLMai527+/GsFRZOT2Yrr6emJpUuXDnm+xctXs+Ca2+kdrTP7j1y1Ig6cPpEf3/NEu0OxUdKh7G/RU6izWuH8t+zb94Hqc3DkVCti0fxZQ0pWkpZFRM9g5bbJpj9J4yXdKOl2SSslnSzpfkkvS9N7JN2ShhdKulTSLZLulfS+NH66pF9KuljSXZK+J6lT0p6Sfp5b116SlrViOxbdtMonyAjq3RROUi8ym2NoV3Abejex6KZVfe99Do6c3k3Rr25H0jaZqICjgTURMSsi9gG+O0j5mcBc4EDgHEnVNH4v4F8jYm9gLXBCRNwDPCVpdipzBnB5/QIlnSlpqaSljz322LA2Ys3aDcOaz8yGL3/e+RwcWa2qz201Ud0JHCXpAkmvjYinBil/Y0Q8FxGPA48CO6fx90XEijS8DJiehi8BzpBUAU4GrqpfYER8OSJ6IqJn8uTJw9qIKV2dw5rPzIYvf975HBxZrarPbTJRRcSvgVeTJazzJX0c2MgL2zO2bpbncsObeKETSbPx1wHHAG8GlkXE70cu+hcsmDuDaq2R3bZatSIO2XNSu8OwUdShF+5TFdFZrbBg7oy+9z4HR061on51O5K2yUQlaQqwPiKuBD4DHADcT5a8AE7YmuVHxLPATcBFwGVbs6yBzNu/m0UnzqKrszp44aR2SnV3dXLanGkN562dd/nTb1y1g4njqgjorLZut3cIDtlzUr+4xlU7+noPDaZZ2Ynjqk23tzZ90fxZfO1dB3PanGlU1PzDpyJtEeNQ1pWPtVan3V2dHLLnpH51PqYiWlXVtXVD//3cbqP5mT9xXJULT5rNhSfNbnoeHLLnJLq7Ovv2Ub4jBTQ+Bwc7XsePqTQ8Pgba10WPqWYanVdDXeb4MZUtjtHBYix67tbOP/f6y5E0F1gEbAZ6gfcAncC/A48AtwE9EXG4pIXA0xHxmTTvSrIrJYAb0j0uJH0Q2CEiFqb3c8iurKZFxKaB4hlurz8zsxezor3+tslENRpS4poQEf8wWFknKjOzoSuaqPyF3wYkfRvYEziy3bGYmb3YOVE1EBHHtzsGMzPLuOlvBEh6DHhgmLO/DHh8BMNpFcc5shznyNkWYgTH2chuETHo93ucqNpM0tIibbTt5jhHluMcOdtCjOA4t8Y22T3dzMxePJyozMys1Jyo2u/L7Q6gIMc5shznyNkWYgTHOWy+R2VmZqXmKyozMys1JyozMys1J6o2knS0pFUiSqJ+AAAEP0lEQVSS7pZ0VrvjyUs/RHmnpBWSlqZxkyTdLOk36e/ENsR1qaRH0zMba+MaxqXMF1P93iHpgDbGuFDS6lSfKyS9MTft7BTjqvQcy1EhaaqkJekHRO+S9P40vmz12SzOUtWppLGSfpZ+0PUuSZ9I43eXdFuqz6sljUnjt0/v707Tp7cxxssl3Zery9lpfFv2+RYiwq82vIAKcA+wBzAGuB34k3bHlYvvfuBldeM+DZyVhs8CLmhDXIeRPS1/5WBxAW8EvkP2gPE5wG1tjHEh8MEGZf8k7fvtgd3TMVEZpTh3AQ5IwzsCv07xlK0+m8VZqjpN9bJDGq6SPRx7DvBN4JQ0/kvAe9Lwe4EvpeFTgKvbGOPlwPwG5duyz+tfvqJqnwOBuyPi3oh4HvgGcFybYxrMccAVafgKYN5oBxARPwTqf2++WVzHAV+JzK1Al6Rd2hRjM8cB34jshz3vA+4mOzZaLiIejoifp+F1wC+BbspXn83ibKYtdZrq5en0tppeQfbM0GvT+Pr6rNXztcCfSQP8Pk1rY2ymLfu8nhNV+3QDD+Xe/5aBT77RFsD3JC2TdGYat3NEPAzZhwewU9ui669ZXGWr479JzSeX5ppNSxFjanban+w/7NLWZ12cULI6lVSRtILsl8RvJruaWxsRGxvE0hdnmv4U8NLRjjEianX5yVSXn5O0fX2MDeIfNU5U7dPoP6cyfVfgkIg4gOyXjv9a0mHtDmgYylTHF5E9kX828DDw2TS+7TFK2oHst9c+EBF/GKhog3GjFmuDOEtXpxGxKSJmA7uSXcW9aoBY2hJnfYyS9gHOBmYCrwEmAR9uZ4z1nKja57fA1Nz7XYE1bYplCxGxJv19FPg22Un3SO2yP/19tH0R9tMsrtLUcUQ8kj4gNgMX80JTVFtjlFQl+/D/WkR8K40uXX02irOsdZpiWwvcQnZfp0tS7Zcq8rH0xZmmT6B4k/FIxnh0al6NiHiO7FfNS1OX4ETVTv8P2Cv1CBpDdjP1+jbHBICk8ZJ2rA0DbwBWksX3l6nYXwL/0Z4It9AsruuBt6eeS3OAp2pNWqOtrl3/eLL6hCzGU1IPsN2BvYCfjVJMIvtV7F9GxIW5SaWqz2Zxlq1OJU2W1JWGO4GjyO6nLQHmp2L19Vmr5/nADyL1YBjlGH+V+8dEZPfQ8nXZ/nOoHT04/OrXo+bXZO3YH213PLm49iDrNXU7cFctNrL28+8Dv0l/J7Uhtq+TNfP0kv23945mcZE1W/xrqt87gZ42xvjVFMMdZCf/LrnyH00xrgKOGcW6PJSsGecOYEV6vbGE9dkszlLVKbAfsDzFsxL4eBq/B1mivBu4Btg+jR+b3t+dpu/Rxhh/kOpyJXAlL/QMbMs+r3/5EUpmZlZqbvozM7NSc6IyM7NSc6IyM7NSc6IyM7NSc6IyM7NSc6IyM7NSc6IyM7NS+/9NMv+Vo/tj5gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4b519f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#weathersit 散点图\n",
    "plt.scatter(list(range(0,data_train.shape[0])), data_train.weathersit)\n",
    "plt.ylabel('weathersit')\n",
    "plt.yticks([1, 2, 3, 4],['sunny', 'overcast', 'light rain', 'heavy rain'])\n",
    "plt.title('scatter diagram for holiday')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4b8179b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# temp 的直方图／分布\n",
    "\n",
    "plt.subplot(221)\n",
    "plt.scatter(list(range(1,data_train.shape[0] + 1)), data_train.temp)\n",
    "plt.xlabel('day', fontsize=12)\n",
    "plt.ylabel('temperaturl', fontsize=12)\n",
    "plt.subplot(222)\n",
    "sns.distplot(data_train.temp, bins=30, kde=True)\n",
    "plt.xlabel('temperaturl', fontsize=12)\n",
    "\n",
    "plt.subplot(223)\n",
    "plt.scatter(list(range(1,data_test.shape[0] + 1)), data_test.temp)\n",
    "plt.xlabel('day', fontsize=12)\n",
    "plt.ylabel('temperaturl', fontsize=12)\n",
    "plt.subplot(224)\n",
    "sns.distplot(data_test.temp, bins=30, kde=True)\n",
    "plt.xlabel('temperaturl', fontsize=12)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4b5b75c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# atemp 的直方图／分布\n",
    "\n",
    "plt.subplot(211)\n",
    "plt.scatter(list(range(1,data_train.shape[0] + 1)), data_train.atemp)\n",
    "plt.xlabel('day', fontsize=12)\n",
    "plt.ylabel('sendible temperature', fontsize=12)\n",
    "plt.subplot(212)\n",
    "sns.distplot(data_train.atemp, bins=30, kde=True)\n",
    "plt.xlabel('sendible temperature', fontsize=12)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> + 从温度和体感温度的图中可以看出，温度和体感温度相关性很高，而且随着天数做周期性变化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4ba0d048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# hum 的直方图／分布\n",
    "\n",
    "plt.subplot(211)\n",
    "plt.scatter(list(range(1,data_train.shape[0] + 1)), data_train.hum)\n",
    "plt.xlabel('day', fontsize=12)\n",
    "plt.ylabel('humidness', fontsize=12)\n",
    "plt.subplot(212)\n",
    "sns.distplot(data_train.hum, bins=30, kde=True)\n",
    "plt.xlabel('sendible temperature', fontsize=12)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">+ 湿度在每天大致是随机的，分布接近正态分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4bb7a128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# windspeed 的直方图／分布\n",
    "\n",
    "plt.subplot(211)\n",
    "plt.scatter(list(range(1,data_train.shape[0] + 1)), data_train.windspeed)\n",
    "plt.xlabel('day', fontsize=12)\n",
    "plt.ylabel('windspeed', fontsize=12)\n",
    "plt.subplot(212)\n",
    "sns.distplot(data_train.windspeed, bins=30, kde=True)\n",
    "plt.xlabel('windspeed', fontsize=12)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">+ 风速在每天大致是随机的，分布接近正态分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4b465d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OHzzvg5z/gfP52Mc+xsknn/xOvyyjhpJbUpPiSCfZhOntdaHbKje8cAOXPnxp1blCCO5bc98up5uOFvKVvFrxj5adpewiP2/liY1PUHJL/GJVoJZLbomfvPwTvrTkS8MqIF2JGBh88W++yBmHnaH2EpF/785105ZqC9lZH/jVB7jskcvUOTWVCAGJrO5ZPay9FT0+UBzgzd43lV0nFVCMXUfcCn4fYerUqbz22mvq91NPPZXnn3++6rwPfOADrFq1CiEEn//85znuuOMAuOSSS7jkkksAuO+++6oe19bWVnW9W265peo8/ToS/+///T9O/5QXdJd2Vq6U47Nf/Cyf/eJnD7hW8HprjJFOsnKFq9sqq3tXs2loE0PFIRoSDer4T175CTcvv5mzp5/Nd0/+7iiNeuTQiyJHm0SkCpBt2/X+XMs7l/Pj5T8G4PJjL2dq89Sq6+iB9fZ0u7qOJOmiW2Rrdiud2U6OajuKpkQTBgZv9nmq/OWul9XjQzGRUtjOWt65nIv+cBH/ety/cvEx4e0V9PMkPvPQZ1jVs4qrT/CyD2MlsvuIlch+jltvvZU5c+ZwzDHH0N/fz2c/+9l9Mg59xXegYaAwoH4eqRKJkogQQlVHy0aBEg++5dXjjLSlymhDWnUwOjGRFdtXqJ9l/ZJsS6K30pdpxQBdudr1WHqdyNh0kG4vG2EWK0We3PQkACdPPhnbtGlMNPLslmerrhXKzioHCwMhhCK9n7/+85rjiJKIrC+ROylKGy3GriMmkf0c//Iv/8Ly5ctZuXIl//u//0tdXd0+GceeZsHsS2wcCuIYI1YiPmnKCbo7162C8/oWrkIItmS2AOGJbW9Cn8yj97ekYwk/fKn2pma10DHYwSce+IT6XSoRSSLr+teRL3vWoN6nqytbm0R0JTK2LiARaWcVK0WWblnK5IbJHNZ0GOCpglqxJ0kiP3/956GsMVe4apybM5trtoyPFj1KrNy+EqjeICvGyBGTSIwR4UCuWN844E1IE+sn7rISkQFrXX3oJLI9v11dc191lJXV6lCttB5Y+wB3vHZH1SLgN2/+hvvfvJ8oOoY6Qr/L10EqjYqoKPtMt9GGUyJ6YD2kRPxuykW3yGBxkHF149TfmpPVcT/w7Kz+Qj/ffc6zDKXyc3FD5Pn2oJe6nill+PqTX2fL0JZQgoROupJE4nqT3UdMvzFGhANZiWwY3EDaTjO5cfIuk0im6K22JYnUO/UhQtHtnXeig+6v1/yaX67+Jf/zof8Zdi+UUEwkUmzYmeuk6BbpyffQnm5Xx+947Q4Mw+C8w8PbMXcMhkkkqkQgUATyfm3DrrmXybee+RYPvPWA+v3CGUGdk4yJlNwSFVHBMgMrMG15RYYyg0t/Xn2yr3PqGCwOIoQI3femwU1Mb57Oiu4V3L/2flXgKPFWX5AAobK8DmC7dl8jViIxRoTRVCK3v3Y7sxbPeseaG77a9aq6dm++l5XbVzKlcQpJKzliO0uSplQi2zLbMA2Tw1sOVzEWIYTaJ2Nyw2Qy5TCJ9Bf6mbV4Fg+tf4jlncu5+427d+k+tmW28c2nv8nK7SvV1rG1oJNIdOMmaTNtzWxVx1zhsnFwI28PvF21ApereP1c8EhEVpDL13CoNETCTHBIwyE17aw1fWvUJP27j/yOd7cFNUrSzipVvDRfU5uKlnd5dU6fmfUZdEjCkah36tUY9fd1Z1sgr+lbU3VsV3vXxQgQk0iMEUGSiNdwYM9w22u3AcF2qKOJTUOb+OSDn+Txtx8H4LJHLuOFbS/QmGgkaSUpuCNTInKyypQyCCHozffSkmyh3qlXQdy737ibhc8sBODw1sOr7Cy5qv/Zqz/jskcuY+EzC2ve849e+hHPbaluvKDvlTFcI8iL/3Ax//nyfwKevaNPpkIIZTPpJNKZ9dRJ0S2GjkNg/Um4wqXiVujJ9zCxfiIQKBGZpTa2biyduWoloo8lGnPQYyIVUcE0gqnoyuOuZGL9RD40Ldxer+yWQzGWers2ich2KsMtUjYNVvfbitazxBg5YhLZR+jr6+Pmm2/e4Tnr16/n5z+vnW0SPW/mzJmjNbSakCtzYxTK1mUmTHQCGw1sy2wDAt9bZuGcMPEEElZip0pECMHavrXqfl3hkivn6Mn30JZqI2WlyFU8EtFtrfF146vsrKSVBLx02baU11ZGVoLruOWVW/jMw5+pOq5nSek+vo4XO1+kO9eNbdrUO/UhWydTyijCk8F/8AoHJaKZZhsGw/tzyK67rnCZ2BAhkdIQDU4D49LjaioRfSxREtFjIq5wMc1gKvr4jI/z8PkPM7lhMjPbZ/KRwz/CEa1HVNlZesGhfF9bki0qriMD7CdPCtc0bclsUSpGv88Yu4eYRPYRRpNE9gZG086SOflbswGJyKDpniLaZnx683QWTFzAP8z6B5JWUmUWDYe737ibj9z/EV7pfkUdGywO0pP32nKknbS6huyv9dXjv0qdU1dFInJ1my1n1Sp+yaYloXN2ZOmt6F6hgsw7e22aEk1VJKmrA52wdctKJxSArUNhYq+IilIzh9QfEhpzppSh3qmnNdVasz2Mbq1F05+lEilUCh6J1JiKElaCX5z9C7514rdIWakqO0s1aMRVY5raNLVKicjzJLZkttCeaue7J3+Xq95zFS3JlphE9gAxiewjXHXVVaxdu5Y5c+Zw5ZVXcuWVVzJz5kxmzZql2ptcddVV/OUvf2HOnDnceOONrF+/npNPPpl58+Yxb948nn565FuD7imUEhkFO0sqEakawNtJ8G/v+9ua6Zm7AkkicgKpiAqtqVYs0xpRTOS5rdW20lBpyCORZKunRCKFeJ949yeot+spuaXQxCnTSvVta6Mr9uEyukqVEqt7V3PCxBOAnZNIg9NAwgyTiP5cISUy+DaO6ZC20yFCqbiVqk2bXOGqoLqysyqBnSVtwmgsBsKZYnrgHAICHigM4Ap3pzU2tmlTrpTVZH/qlFP56BEfBbzPpnyuac3T6BjsQAihPgMpOxW61pbMFtrT7Zw9/Ww+ddSnMA0zJpE9wEGfnfW957436hvbzGibwZff8+UdnnPdddfx2muvsXz5cu69915+8pOf8PLLL9Pd3c38+fM55ZRTuO6661i0aBEPPOBluGSzWR555BFSqRRr1qzhwgsvZNmyZaM69uGgYiKjYGfJVai+Ou4Y6mCgOECmlBk2xXMkkAFoOamU3bLq/5S0kjvNztKD1LZpU3bLDJWG6C300pZqwzZtpUTKbhnTMDEMQ9kjmVKGFssjSTmx5so5lYYbXbEPRyLduW5Kboljxx7LH9f/kf7ijkmkMdFIppQJWUgyY+rwlsN5YdsLlColHMth48BGpjROYaA4EGqwqKcKS1RERZHIIQ1hJTJUGmJSwyQSVoJCpYAQIrTI0AktShJSjfbke6piIrUgM7UkcZ819SxVCCrtLAODo9uP5tdv/jpULxJVIlszW5nZHti/lmHFMZE9QKxE9gM8+eSTXHjhhViWxfjx43nf+95XswVKqVTi0ksvZdasWVxwwQWsXLlyr41xNFN8ZSfdbdlAicjJdE/3Ne/Jhe0sPX10JEpEr25vSjQBngroL/TTlmojbafJlXPebpTaClqRiJahJSfbsltWSiS6ydVwacEy7iKJSx9XLTQkGqrsrJXbV+KYDlfMuYLt+e08tMFrd75hcAOHNh5KwkyEFISMu8j4DXgTtFQ00cB6ppShwWkgaSURiCoVqROajIFIyIVCX6HPs7NGQCJ6YN00TfUYV7gU3SIJK8GssbOAcIZeykpVXU9Pd46VyJ7hoFciO1MMewMjnaBvvPFGxo8fz8svv4zruqRS1V+Od2o8o6lE5ASp21lyMt3TWgsVE/EnsIpbURN9wkpQFmVPnQxToazbOU2JJnryPap6ui3VxkBxgIqoeBOaqKjryD2/9fHr8Q5Z+Z6v5MmWsur84arcpdpJ2SmaE801lYj+Ptmm7dlZ/n27wuWRDY9w4qQT+cChH6At1cZzW57jw9M+zMaBjSyYuIB1A+tCE70kkcNbDle2nitcunJdNCebFVEqO6s0pMgLPPXnWA5CCLLlbDgmErGzbNOmKdFEb753RCRim3ZIiViGpR4jEJQqJRJmgiNbjyRhJni1+1UObTwUgLSTrrpeeyogkViJ7BliJbKPoLdqP+WUU7jrrruoVCp0dXWxZMkS3vOe91S1c+/v72fixImYpsmdd9457AZU7wTeCSWi1z7IybeWpbIrUDGRShATkRO9XA3vKJhdS4nI4HNrqlX569lylrJbrlIiuj2lr8yLbpEpjd6mnLqlNRxpStstZadoSjbVjInoE1/ZLZOwAmXxes/rbMtu44zDzsA0TCbWT6Qz20lXrot8Jc+hjYeq1X303i+bfRnnTD9HPUd3rpux6bGh108I4aX4OgGJSEK69dVbWfDzBapzMtTuK9aWalNKZGcxEWlnScUgbUTwiE4SmGM6zGifwcrtK1VMamdKxDCMA7qYdl8jJpF9hPb2dk488URmzpzJM888w+zZszn22GM59dRTuf7665kwYQKzZ8/Gtm2OPfZYbrzxRi6//HIWL17MggULeOONN0KbSY0m9Ews+eWSx0YjS0tOkLofL1fko6ZEfFtHn+glmezIutDttKakRyJyD43WVKvy1/PlfMgq02MiElGykiSiW1qSdGTcRkK+Nmk7TXOiuaadpd9H2S3jWI56bbcMeYH0I1uPBGBc3Ti2ZbcpQpQkoqsFee+tqVY+PuPj6jm6c920p9tDJJKvePdf79SrVGb5mv/3yv+uGmstkmhJtiglsrOEDUl48p4tw1IZXTImIslsYv1EL6ZUqR1Yh1iJjCYOejtrXyKavvv9738/9LvjODz66KOhY6+8EqSefve7Xg+haFv5dwKjuVKTK1R9wpWTqd6RdncgSUQPrMuJXtofO8oA0xv1NTrexlTLti1jXN04jmk/RsVxcuVcyCqrs3dsZ0FAInrzQEmeUbtH2llJK0lzsjkUP1Jj1e6j5Jaod+oV2UjlIjPhxtWN44VtLyhrbkrjFBzLqWlnNSWaFCFIEpk7bq5qu1JyS6p/2Li6cYoA5GteSzXVIomWVAubhzZ7ZDyC7Kxh7Sy/7Ykks5ZkC72F3mFTfAEmNU5SP8cxkT1DrERiVEEnjNFUIBLSzipUCmoiHA07S681UTERUVGrfD0QOxJYpsUJE09gcsNkrjv5OuqcOtXXSa7Eq+yscm07C7zWKFDbzopOorqd1Zxsrjkx6/eRttJeoNyfOGXmkrTkxtWNY6A4oDKtmlPNVb2pdBKRr5WsVpcBfvCswj93/BkDg/ce8l7VB2tXd1VsS7XRl99BYH3LKzDoZfA5llNFIsrO8hswSqXUmmploDCgFiu17CzZMVheK1Yiu4+YRGLsEMrOegeUCAS2zWgE1vsKfYrsVEzEDWIikkyGmzCi92gaJj8986f84WN/YP6E+UCwqs2VcyE7q1a8JVo7oWIi+WoSiQb6pRJJW2nq7LqaAXh5H42JRq496Vocy+HNvjdZ3bOa/mI/CTOhxiu75MpCPMd0quysgcIAtmGTttNqUs+Ws+TKOVpTraHYx5KNS5g9djbt6faQnbUrdT4tyRZ6Cn6KL8CDX4JOLd3+fz4Gj12rxjtsdpbrUiwXSGR7oZihJdmCQLA9tx3bsGs2rkxXytDjNWKMYyJ7hoOWROIPzcgQVSI7UyT661pxKyzbWl3Hki/n1eQmJ1FlZ+2CErn04Uv5w7o/qN91m6joFhFCUBaanWUGq+taiBba1VodS389amfpq3SJqJ01vn48tmnXJJGo3SPJNWknSdvpmpX2Uol8fs7nmVA/QdWFXPbIZfQX+mlONqvrDksi/hjvWnUXP3vtZzQmGjEMQ927HGtrsjVElB1DHcxomwGE+2DtrPmhjtZkK2W3zGBxEHOoE567BR75pvfHbA9kOtVEn7ASZEtZNV7LsFSmoItLcWgLiYHN8Mg31Va3XbkubNOubZXd+Xfwg7kgxC4rkXw5/4607DlQcVCSSCqVYvv27TGRDINQYJ2gh9ROHycE27dvV6nHt7xyC//fQ/8fL3W+FDqvUCmoWoRsOYsQQtVXjFSJFCtFnt3yLC8w/ARuAAAgAElEQVRue1EdkyRiYFCsFENBWAiUyHD3Eg1e1yIRXYmURZAqLP/fMLCBn736s1DFtESD00CdXRdKKJA/R+tXdCsmZacoVAosen4RD61/SJ2jtq717+uUyaeo16Ev3xcq2hxfNx7wSMTAwDIsr67Et/2uXeqt+KXVJl8zmUHXkmwJSKRSouSWFHlIJVKoFHY8uXathtfuVb/WJ+rVa2DJdivt7/L+98mDXq+X19xxc8lX8jy36SkAzNfuC/YTES4lXJJCwMalqpCxK9uFYzpVKs/AgA6/DquY2eWYyBWPXcEZ95wx4vP/2nFQBtYnT55MR0cHXV21N9I52FERFVXDIbYJLNOiO9dNsVLENEzEtuHJV9gCt9n7QkryiAabK6JCW6qNTUObyJVy5Ct59SUeaWBdZhLp9ROy0LA93a66w0IwwavAuh88/0vHX5g3fp6KZ0Q9/Vo1MVKJ5Mv5kBKRE+zPV3nJEh+e/uEqa0cVBEaaJEI1ici4UcpOqedcvHIx4Pn5M9pmhKwd1j/Fp1/8LXXzv8K3n/8ub/S+wfj68ep6MsDenesmYSUwDCNkZx3ecrja11x/rWTX4ZZUi1r9y/Yu8p51JbJDpfrzv4fe9TDmSJgwK5SRZmzxE0ZkJpUkkYFNUC5y0qSTSNtp/uCTqLX855jveh8g256UqBMCOlcEJJLrwrGc0POk7TQ3vP8GuPXD/hvQuctKZOmWpep+5b0fzDgoScRxHKZNm7avh7HfojvXzYW/8jYQ+uPH/sikhklc8LsLWNWzikankac/OXzPrlmL/Yrhi19VwWC9Y6qcHKUSyZQyIZIZqRKRJKKrB6lEJtZPDPnzcqLXA+tbM1u5/NHLsQyLpZ9a6jVnrIQto1o2yHAxkehqN1sOrJdF71vEXavvUqt5nTDk/coCRnmdXCVHwkxgGmZVYPilzpeY0TYjrLR+9X8h283hJ34W8NrI1Nq/I1fO0eA0AOFNn+Tr+fXjvx66d/matiZbA+JxPSUix6oXGw47GZdyHoEA/Pl78PH/CSk9S3KPtO22r/UPCBjoIN02ndljZ6sJ3CpmQ3UiRbdEQggQLi1+plx3rptx6XGh9+b2s27nmPajg3ENde12dtZAcYAx6TG7/Li/NhyUdlaMHUOPGciJWE4yI90BzhWuyvbRV+RyoparxTtX3qm2KIWRx0SUEtGylnryPdiG7SkRtxjK5IFgoq+IiorBVESF57d61kZUDdRKSw3VidSIiUjkyjk1QZ9+6OncdtZtXlW5lQjZXHrAXH/+fDmvFEg0RVVv6QI+Ofq1J4f7nXYhvM2svmLWFUSpUqLslunOdXPprEtVfUgtJQKoWhSBUNfR7Szdqgth/ZPe/2OOhDcehsJQiETMpkOgfqxHNgA9a4PH+paWfB4AExEsCvwuvgnfnm7JB58hx3JC6dOWaamMLwAynbtNInvaouevBTGJxKhCtIgNghXzSL9svfleNcHrk6YMEEsl8kTHE3z+0c+rv++qEgnZWX67dtkjS5JhtE6k4lZCY1rdszo0NokdxUS+9/z3eH7b8yGVo58/VByiVClhGmZoEotmROkV7rqdVqgUFIlEi+XkOENKxH+fWswEkxq8GgjZKVc+b/RnWXuxPbediqgwoX5C1b3LmIhMFXZMR71HURIpuaXh95nf8rL3/xnfgkoB3no8RLymYYCTDiuR9sO9n/s2BPfpwwLMTZ5d6tWJlBWJpIo59T7Zph15HjNQRACZXVMi+ucmJhEPMYnEqIKuNspuWbW42BVsy25TqkJXInKi1Jv8SbQkW0asRAZK4aI68Ca8tlSbqpeQsQ/pieuBdX0yeGbLM7zV/1aVEqllZ+mTcaaUCRGE7r0PFYcoi3JV40HHDBf4yXoOCJNIrpxTNlbUzhooDrC6Z3WV0gKglFU7AurXNg0zaP/ip7xKa0pmdcnguzwfPCXSlGgKrCszEVTZ17CzhlUifW97SuPw0yDRAOuWhO0sTLDTnhIRwlMiU08C01ZKJEQGAownbwD8ticaiZDrVSrMGdiKPRTsD28bdphEhrqwzJHHRPS95EeDRLpz3dyw7IZhMwYPBMQkEqMK+n7TZbdMvpJXE/JIV2x6c8WQEonYWTqaEk0j/jLJL/BgcVA9RioR2c1WxUSiFeuiHEoVXbplKef95ryqmEgtO8swjNBkqxOHPskNlgZDwWcJvb+VHHM0sP+zV3/GH9b9YVglcu+ae/nEA59QBKrvCkgpx8ff7VlSZxwWziCSRYFyTLKAT1bDyzRg+bqAlyqtv1eO5SiicEwHKmUSee+9KFaK5Mq5qhYugEciLYeC5UBdG+QHQueZhglOylMi2R7I93vWV/Nk77FEXmsEps8ZLi5FUSYh4yq5HrV1rlMYxF5yffh5ZCaYlfTsLEauRGQ7GRgdEvnGU9/g9hW3V2UwHkiISSRGFfRVWcktKfui0Wnc6ZdNTj76JkghJeIH1mUuv46UnRrxl1l+gQVCqZd8OU+dXaf2t4hmZ0kycd1gO9V3tbxLXTOqRGrttgdw77lBmmpIiZhhJaIHnyV0JSIr7GWLdUkiN714E8CwMZFMKUNZlJXSsMrauEs5JtRP4NWLX+XkySfDwBbY5KVBS8Wgq4pipajeKz2bS1cJemzFMR0Vx3HcMnx/OsmbjlXjz5azNduM0LfBIxHwMrDK+XBMxJBKJBtkZrW9y3uMtLO019oUXlwEvPezJCohJSKJ2RYCq+MF9TjLtGCo01NDrYfB0K7FRPTdOIfbsnhXIGNOB3KWV0wiMaqgf6EqoqIm7KZk005ra+QE8ps3f6OO1VIiesaWfEzCTIy4vYq+CtRjL7IlesktBTERn9jk/xURxET+ed4/M2/cPKA6HhNa4ZcL0OP1i9LVhW4lhZRIcdBrilhLiWitSQRCxSKiJKbsrBoNBPXXwMxpLVFKETvp8W97hXVCVCsR00Hg7SnfmGgMEbt+X7LVi7xHZWf1boB8PzYCA0PZWbVJZCO0+K1GfBIJkQK+Einlg6B6+7u8x9SwsyxQCdgVUaEoKjgEJCLbvzsIbO0zaxkWDG2DhnFQP86LiZgjJxG9eeZokIh8D3e2z83+jJhEYlQhGliX8ZDGRONOs7MkSbze87o6pts3Uokk7SRRyL0odoZ1/et4YuMT6ndJIjJFVtlZMibS4VXNq8C6qKgxtafbOXPqmQBqL3GJkBJ56KvwgzmQ7Qm10RiWREqDlNwadpa2EZSekgzVdSr5ch42vVCz9xMEk5iV3wGJdL/hZW4NbgliIZH/3+x7k6lNU0P2nU6g+n05pmZnFfxqeyDpJwzkSjm1V0oIbilQIo4X+wgFyk3DUyLlnBdUN0yPQFoP8yrXI+ebCORvJbeECyTNBKSaIderGmI6AiyiJNIJDeOhdSpsX7tLdSLqNTesUbGzpIoeNpZ0ACAmkRhViO5TIT/oTYmmHa7YSq6XLnpY02H863H/yp0futO7hqhO8dUnRpltZJv2iFKIz//t+aHCOJmhJUnEsZwQUVhLb1HXh3Bg3TEdlXkkmxNKhLKz1i3x/u9aFfLmo5lXEtLOUoRTyisCkqtO2VJkOBLZ3r8Obj2V1Obl6pis8QBtQtOJI5odJa2hrtUhBaL/v6Z3DVObpobvnQiJbH0NvjsFp1JWSsQpBsrNMawd21kAzVP8C6agXAi9voauRLLbId0KdiJQL31vh5WIAMNfcMjXLWFY3uOyPYrIbCFw3nVa8DhpZ9WPhXEzvJiIWxmxEhkoDtDoNNKcbI5JxEdMIjGqUKVENBKB4fuOyS/C3x/591x8zMUc2uStPHUlorc4l5AWlmM6I/oy69lNEMRfpH0kbRs5HjnN663g5TUc01Gev9wGlsj5gLdyBdi2AsMwgjiLUZtEpJ2lCOeeT8P103AMWxGYVCLD2Vnd/iSVLgQZa3qQW05iYRLRfs4PQMa/p+43lO+u6kT81ylbzoa62kbv3TZtr11JYQCnMKBiIrY2rqRp7djOAm+CB59EIkpExkTKee8epJqR6qVvY5hEjvu0mrxUnzHT9p4j1xsE1oXA0qzTwM4aD2O93l9mMTNyJVIYoCnZRFOiaVRIRMYLo0kdBxJiEomh8HLXy8xaPIsNAxvUsaidBcNnaMkVqlwFysmqVopvyk7x3KeeC9UmJMwEw4VEvvKXr/DnjX+ueu7Dmg5T8RepRCRBKe9eCCgXwr2WfGJLWAlFjlV2lk4iUlF0rgzdmz6x1czOko9b/aD3fLleRWBREpGvjSS1gu8u7YxETH0Vq/8sVQhA1ypFGgGZBOM9rDlMIqECPcOC1V6jy0R+ILCz8gPgv6ZJLJWdlR4mhoPfK0sqjlBMRGZnlXLePcgtbRv8jLGhbWE7y06ryUu+z2nDgXSbZ2fJzyBgJwISMStlz95rGKdIxCpmRtxHr7/YT1OiicZE4x6TiJ6JmIvakAcQYhKJofDoBm8DrLtW36WOlURJKRFJIrWC328PvB3ajQ+0zrZaYF2RiJUibaeVdw2eRx+1s/LlPAPFAR546wGueOwK1eCv0Wnkq8d/lU+8+xO80vUK6/vXB0rEqqFE+jbWDKw7pqN2MOzMdoZsthCJZHyra9vK0L1ZvRu8ugZqZGcJLSZy2Ine8/W+rRRHT74H0zBVaq08Lh/zhR4viOtke1UxoyQ80JRIcRglIkkk2QTb3wwrkVtPxflzkPp6iKx0z/bAtydirn1C/c12K9D1OiQacHJ9atXuFAZUQWDCMCi6RW//+O0aeelI+lacH/sIkUKVEvFJpN4nkUxnWIk4aRVYl8oobTq+EulRnysjokTsnN9BuWGclz6caMAsDO2yEmlMNO5xYF3vOh3bWTH+KiBJ4sXOoDOu3JTINMyARCKrtrf63+LDv/4wP3rpR0BAIrWUiLKz/MB6NEVWKg1XuDy/9Xk++tuPcuIvTlTnrB9YD8B/nPofXDjjQtUfqjPbqbrqyudVuwYKAX0bQq3ga8VEevI9pLV7q0ki/RtD92Ztfgle+ZU3fiOSnVXRsrP81yCR7QnZWS3JFtpSbSStJItXLCZfzlN2y3z8sA9yab83SRnZbkW6OskpJVLMQqIRnPowiXSt8gLUk+fDUFeoyJBNL+D49RcQNGjk9d9CKYv1wuLgffGTIZhyPI62erZz/dA23bsvERQbpvs3URMJn0Sc6piIaVi+Esl6/6Qllmzw7muoK0w6Tp2qE5FZdSnLUXaWVCJlw8BOBHEkM+ul1FI/FgwD6sdiah2fd4aB4gBNiaaq9jW7A9kNALxeaQcqYhKJoSDbgOtfqCc2PsHTm5/m6Lajg8B0RC3IJogPb3gYCOws+aWPpvhahhXYQUY480fittdu49MPfVpt5yoh9wiXHr4kgIHiQJDiG1EiNniBWa1iXRKbYzmh9iApbRJWk5wQQWzBVwtKiQgBj30LtM2vwJsgim4xOOZbgonCgLLShopDyhr52vFfY3XvalZuX+kpKp2oM12k7BR1dl0oqy0IrGch1eRnPWmB9c3LPcum5VDIdAUpvrLzsPYcqhZk7ePevY89Uv1NkUjLlNBjnFwfNE6ARCNJERQbpkt5Lu/tY3w5skGVnMztajtLxUSE68VyHC2u0jC2hhKpU3Ui0s5KWSlI1IGWIVY0DBzNzrJlfE7GXJw0plsZcZFrf8Gzs2zD3qUNuGoh2qHgQMVeIxHDMFoMw7jHMIxVhmG8bhjGCYZhtBmG8YhhGGv8/1v9cw3DMH5gGMabhmG8YhjGPO06F/vnrzEM4+K9Nf6DAfpmSRJ/XP9HVm5fyQmHnFBze9nP/elzfGfpd0KPkUpEdn2NKhE9qB4NTMtr600ZdWzLbsM2bMamxwLB5Ndf6A+l+IJmZwlg6S2Yeb8hpCgr6yhhJnAsR405Walg+hOlIpF8v5eiClAOW04WeOrk9d+FJrlMKUNvvjcgxoKnGuxSTsVEMqWMmuzkrodyy2A7RCLdnvXn1NVUIlYx41lWTp2X3QQe8W1+CSbO8Vbd2e0kZFaWTwo6IaisL9koUWuQqEikeQqONiwn3+ddO9VEUgjy5TzZcpa6SoV/7BvgkY3aBlVWwsu2gpqBdUPGRAByvRESGQ9D26pIpMrOspJeFXq5QJ1f21IyDCxfQQNY8rNoBWOxhDui+iQhBAPFAZqTzVimtcckoiecxDGRkeE/gD8KIWYAxwKvA1cBjwohjgAe9X8H+BBwhP/vMuA/AQzDaAOuBo4H3gNcLYknxp5D3/s7igUTF6i0T93OemrTU6GaEAhXWMsmfxJ6Y0EY3s4abr9uud+3rGmQSkSO3TYCO0spkbp26Hoda4PXwv7JTU/y3Nbn1HPq10kJob4UKs1VWlkNE5QSCZFI8xR45VdV1ekbBjYEJFIcgmQzCSFwhUvFrZApZdTkLYlPpknbkqgbJnhKxPKViFWtRMxSplqJDGz26isO8UkEgayJdvwJSycRy7TArXjptQD5/oBESnnPFmuaFBT0Abbrekok2US78Ai+UCmQ9sceahqjqQGcNFSKyo4CqUSGIZH6sVV2luWk1eNDSsRKAII6n2xLBph6YF0qDqnopBIZQUwkX8lTckuql9ie7suup77HSmQnMAyjCTgF+BmAEKIohOgDzgOk+boY+Ij/83nAfwsPzwIthmFMBM4CHhFC9AgheoFHgA/ujXs4GKBX4+r45gnfZP6E+aH9G2D4VF+dRPQ9K8AnEW01LScGAy9tVq4IhyWRXA9t6aB5Y9pOYxu2ClLapq0mP6k2rEM8IWv5K7/fvPkbnt3yLLZpB2TkB9cTQngWFX7vrHIB7rnEe7LmSV4HWgin+DZPhsKAOiZ7awlEkJ1VGILxR6uJu+gWQ0pEkUjFaxyplIhvRaVsLyaik4hSIgWpRFJBTGS7X0cz7iio9/a8kPEMWd+RiL59+X5UelxhIGhzX8p6AW4nFbazEDBhNqSamOAKtfVunVvjc6GpAUkWtmYheTGROvXcYSUyzrOztBRo06lXdpaMiaTtpFI79T55Fw0zUB2gFgEq285OYbmVUL+44SCLWpuSTV6B4h42TQylvue27+DM/Rt7S4lMB7qA2w3DeMkwjP8yDKMeGC+E2ALg/y87wE0CdDO8wz823PEYowC966uOC468ILTvtoyJDNdxN5RxVcvO0nx9fXtZA0MRk6xsj6Kn0BPqAGwYBk3JJtWDSN9TW5KX7U9OZiVsP+gxGGmP6UrEMixY8zBsfRVMx7OGhAtuJYjp4E9SlSD+oddc2IYNlZJHPuOOUhN3sVJkqDQUKBGtZgP8VT54JJLr5bQp7+fUQ0+tWelvFjNepbZTFygROVk69YpEEv79O4UhsJI49WPDF8oG2ULkB9T7bRWznuIwbdIaQTiGBRNmQbKJ8aXgtW2rNbnqSsQnEVP7XJi6nQVBYB08Oyu7Hfuxa4PzHS3FV9pZdp1nZwF1/ntRNE2wNIWoSMQnFieNEVEiD771IC93vVx1C1L5NSeasc09j4nIz6chBLlhFnAHAvYWidjAPOA/hRBzgQyBdVUL1e1TvSXScMfDDzaMywzDWGYYxrJ4C9yRozffO3yhGEGMQE70eoqijp3aWTWUiI2B8dafd25n5Xqq2sg3JZpUpktNJSKrlyPZNHrTu0MavBTXhAjaaRiGAa/eA3Vj4GtbocWvuK4UAzvLMD1rpFxQx8bWjVWKwbEcFQ+h/XAS/ldO7r0he4hJxaIsOGlnNXo1JJce4RVw6kpEvYaFwcDOkvtxqMnS9u0sSPgrXzvXB23TccxI0z9pZdkpyPcH701xCBongulQp8XDnPYjvYk/1cSEYlAsN70Yfp0/QF2Q3guKLCxtJW4ZVpg4QnaWR4KW9k03nLqqOpGUnVZKJCVfZ8P0FgAS5QiJSCWi3deX//Jl/s+D/4coZL1UQ6LBC6yL0SGRJtclN8zn/UDA3iKRDqBDCLHU//0ePFLZ5ttU+P93audP0R4/Gdi8g+MhCCF+KoQ4Tghx3NixY6N/jlEDsmWF3g68Cj3rgcDOigbiL59zOY2JxlDMQyqRU355Cv/4p3+sCqwrW6icx+xcsXM7y2/3rqMp2aQIzTGdQIn417D8VbBZCU9uuhKRdRICwoH1tY/BjL/1JmM58ZQLmp2lKRE/+8sxHdXKxDEdlZlFsgnHVxKlild/I0lEKRFZIClVU7pFPSdU7y0CYBWGtMC6b2fpK26fRBz//p1Mt2etWZGCSX+PelqnQWFAWX1OYUgpEd2qsscdpe5rfD7ICpumqZLl697mplJDRIl4BKGTiGlaYSWik4if1WXr60UnjSH7LfrEm3LqlRKRn7CiYQTWVeh1Cews0y0rdR0qAIzEKVS9lNO4S3uQDIcQicQxkR1DCLEV2GgYhtz0+TRgJfBbQGZYXQzc7//8W+D/+llaC4B+3+56CDjTMIxWP6B+pn8sxh5CEkJ0z+h/mvtP6mfz2ZuBoNhQz3NPWSn+8dh/5OkLn65qmVFyS/QWenly05PkK2E7SwbWLeHtDyF2okSy5WxNJdKTC2IicvIryp5cdhJMByvSVkQnkYkN3qTfY1lKiVgYnj/f5DumkkS0fUIsw/KOa8TibH2NuePmeuMtZb14CECyAccnmkwpQ8ktBSRiRe0sf4Lyt6WlUoDCIInn/wvwYkjqNXTLnhKxU5qdVQrGnG4FwyRR8ntM5Xph7FHqOZX9KO2s1qmQH1CK0y5mPUvJskN1NI6Mc9gpJpSC17ZOD9gDZiETpPeCIgtTaxzpxUQiwXcJWVOkew6anZUpZbweWU5anVvvJXZzRMXwNraSqLKzUlhuWcVEdEv3pW3hPT5k7KU+UY9ljF52VqPrko+VyIjwT8D/GobxCjAH+A5wHXCGYRhrgDP83wEeBN4C3gRuBS4HEEL0AN8Cnvf/LfSPxdhDyKChjA0A3HPOPVw2+zLvFy1WUEuJ1OzcimfT6C3Wo3aW2nVQbjDkT0DRrWp1tKfaQ79H7Sy1oZJUImbCsy12oETklrLbLVNl/RjyfLmKViRSwLY0JWInQzERe9NLfGqy1/RvU2ZToEQSDST8c2Q2WRWJlIYhkXIRXr2HVNcbgGepSJgIX4mkQTZF1FfcpgWpZpyKTO0Fxh2F4T+nasuf00ikMBBsv4vwLCXTIa0FoNXrZ1q0l8MEHUJhIEwiMrD++yuDezBMqNPeV93akh0Q9EQOOxnUiZSzXqzGTqn3qM1Oc0dqBtflNAUJYXL1x6JnZ+kLo2jWoVQi9XY9junseWD9r8TOqrEF2TsDIcRy4LgafzqtxrkC+HyNcxFC3AbcNrqjiyFJpD0dfJFDO/vl+9Tat1ZMZLhYim3YKmsHPHKoleJrITARSuXsaH+FqBLRN02yjSAmUpIxEdMBO4FZ3oESqQ+USFvFmxzMYUmkGN6jJKJEbATvTo/j3977b8waMwu2+5XhiQa/X1WwoZSKiUSq7G235E2KUrVVirBuCUl/EtcbAFrCH2PbdK+5YK635mSZ8B/rCAHjjsL2/zZzzEzvnGyPt2pvngQIpQptgWeJmXZIZajMM9PGdMucM/0cjquYsO6HodeZXF84JiID6wMd0DrZG6ZpqdiHd/FqJRKarEwHw38PsqUs9cL1zlOvV4G/IekTyw7sLCeNWSkpwtQ/09H9ZTI+QTckGrw6kdGKiVRccgfwfiJ7jURi7N+QmSf6BB3au3tgS7CTXI0v3I6UiN62vVAphIsNpWUiPFkshIsQYodtIGrZWRJ2/yYsvwK94KsZy3bATmFHuv+6pYw32VqOUmBHFEv0Wh4JBSQiK61lTKSoakhss1qJOEJAfoCPHvFR7/wtfuFkssGPfZSVipPZWVW1LZWyN5FqkyJvP0PKf72anQYkNZvgnTvJr8ndvDwgEUmUVkLt/OcgoK6NiVYdtxSamXOin/WU6/Gsr5T3+rmKRISXZmvZ1GlKxJaBecuBSonvnPwdLxEhilKmuk6EoLsy4BFCqlk7p676fF2JmDamFRBvuwgrEcpF9d6GAuuKRPzX1U5hItS9btdSbaPZh5lyBgODtJ1WdpYQAsMwqLiVUM3TSFD2SanJdcmJPWuhsi8Rtz2JAdQmkVDvqMEtyuaRaiFEInZtErGNHWRnCYH92n3eeYqgBLlybod+8/TGKUFlNuFdEu1HvoH5qDcpBu3evRVqVImU+zfCQ18DvJXwz9/1f7hla6fy3k054dRQIlKWKSWi21kCTw2om662s7717LeAgHxldX+YROrCk2J+gCnlMinXZfrGoL+ZJYR37kRvm1o2v1gjgJzUlAjexGoneW/JH8O2lfDCHd5E7E/m8n22wVciTkiJGJoSAQGuG5BXFDXqRHRSsEzL62UlEUr3TQXjkDAtTCMgB8/OSoYsR8oF7/dQiq9UaIESsQDXt7PkZ7reqVdK5L4197F4xWKGil4ihGmYob1pnt70NHPunMMbvW/UvvcINg1t4q2+tyjJOGTFJScqO7Rw92fEJBIDCPpfDatEBrcoO0uu2vRW2MORiL4LYHOymVw5FwTWi0NBEFt4+2a7uDttsV3/PxfAd4PyIN0es4XA6u8ANDvL9tph2JHak7JhgF/FDjAr0Uar6yrFFZCIr0Tk6jXfj7nhWe+QYakUX6VEEGESUdlZjTiRvbT1TaYSVkLLzip6K3B9UqwUmV4q8/yGDqZpabQWeBNtutWztDa/VB1AtpIkZLGhEN7EbyVU8STP/tj7v3mKF18hmFhtIWMi4ToRFbCW/7vloD1MFLXqRLQ/m0ZkFR+ys1LBONQDLAwtYJ6SSkR+tpQSSVQrEdMJCMtOYQqoaErENmwm1E1Q78XVT1/NomWLyJQywd7t/nNXRIXHN3r9xn7w4g8QQrB4xWLV460WPnjvBznv/vMo+Z+LQ/weY9GtCCT2tNHjO42YRGIAnhKxDCsUXwjFRAa3VAXWB4uDqvvrsHaW9gU2McNKJNerVqNeTMSDjGY5OxAAACAASURBVAvUQnuqHTqeU11xIZz2agsw273OsvLLZ1lSiYS/jGXwq7R9SNKRSqQcsbMkIfZtwPKD0JZpe+QiKtg+JVYpEZkx5aRDtSkA9fd9Dv7nfO9pzEQQEykOhu2sciE0QSe0CdVEBPZP0yTIbK9ecduJoGJdCO+4T36A1/IE4CM3e5leBEkOtmF5AX4rXCeiVviKRErDK5FQ+q6vRKLb1urXCtWM1FIiNpamMNJCeOdFSNdTIhES0d8DP8tLIBBCqLY6DYmGqpiIXhwqx1t2y0rFP735adb2rWXRskX82zP/Vvt10FCqlLCEYLwfg+vKdrF0y1IVnwQveWXenfP45apf7vR6+woxicQAghbXoSZ3kZiIpJR1/eu46MGL2Dy0WQWkdUtJR2iPjdIQrnCDmEiuTykRW4DhTyo7Wnl99NDTg198e0qPsTgITH/lKoPztml7K87I7nElw/A2KFLX8yZU1TtLrtLlKlpO6NomUZ4S8bvj+q+QIyJKRNpodgo7UixY37kK3nzEe5zlKBJxtq4I21nF8ISm97CyBMHK3U55BYeVordhlPTprQQJ2blY4B33bTh17+2HQ9s0lRHmSjsr0eit3E0r3NJEvrdyknbLAbl/+IZwaq2+UZWsE9GLB+VnTW1cVa1EojERw9TtLDeiRAoekViJ6hRfnVT8mAh4qqI330trqjVkZ0lkShnqE2ElUhZlpTpKbomnNj8FDL+o0lGqFHGEYGzZI5ENAxv4h4f/gX9+/J/VOZI8/rLpLwAsXrGYhc8s3Om19yZiEokB+C2uk2ESCcVEhrapPa1f6nyJ5V3L6cp1qV35hsvO0pWIJAdlP+V6VWqvjVAkNRyJfOvEb3FFXdCinGx3+Hp4E7jpx0uKUon4PZWMSEykZPh1IBKKRPzeWeUIicgJvTCoChIt01I2l3zlbESQLgveZOZP6FEl0qQFqhOmZmdBWIkUw0FevZuuCqyDCvLjlsKTpZUI7Cz5vupKpFIM7LpkkKgAYPvKJBoTqbKzKuVAicw6H877cej5Ffzr6QaWCkrL2EktEtEHZViYVXaWHhPRAuvR3lkRJSLJTAhByS2R7FxFfdcbXi2PpqwGi4NVSuSh9Q/x2vbX1DmPvf0YMPz3QY979JcGcQSMszzCWdu3FvC2O3ir7y3ufuNu7l/rlc7JxI9FyxZx9xt317z2vkJMIjEATYkYwyiRTJf6sOg7ukklMtzKK9rZFgjbWf6ELWMiwLBB9SNbj8TsXh0aU+h6eIrGKgckYgiBafmpnpFc/Kpn8f8ux2ENF1gvDCjCs/30YQhIxInaWeWCIgPhX+PQxkN57PTbQpNywkpobU+E16drGCWi21m2EGESKeeDeIA6KRn0zlIKIhlWIjL7LBUmEdk2BsshWZNE/M+JHhMxnR0okSSkW0M9jEwzokT053Fq1ImYpsrOArxxVSmRWnZW9HUJKxFXuBiVInU968mUM6HO1l25rqqYiFQFss7otW6PUHRLSkdntjP4udCHg6Ap3UJCeJu7gfdd+tyfPsfCZxaq9PjoLor7UxA+JpEYgL/tZ6IppBxCMRGNRPSq3vZ0O+dMP4cTJp7gHVh2G9z3WW9VSliJSKjAeq5XrQL1mEhpGF/dMqxgcyh/TKHr4akAqURKlZK3epUtS2oF1kMHioChVrymUiIyJhIoEflILzsrrESq7ayARA51mvm7vODm029mbC48MYQC6wKvnXsNCw2iMREidlah2raxEswquXw0NZljJHva2mtSKWhpr8nQpO9o8YrQK6ZIRLOzZLsWK0oikZ5fDeNDv6rA+qlf9/5vnhwaOxhKtUrodlZCpfhqdTWVove8O7KztMp3V7i4lSImgnpXkCllQhmI2zLblBKJLo7mT5gPBBmBwzUz3Zbdpn7uLvZjC4GRbmdcxVVKpM6pq0ouiZLIlsyWmtffF4hJ5CDFiu4VnHnPmWrFNFD09o7WJ/2wEulWE4j+BWlMNPKdk7/DCYf4JLJkEbzyS/jLvwOoSmDZHh00qZ/vU6m9+gQxnJ3lmI5HHPLxmWo7yxZg+f2jim7JW72aTjC5aqhIEinKViEFSAQtxs1ywX+sLNjT7Cz/GqaMLWj3YEezs7QJ2raTLBzIe51++zaExpMwE+T9uI2NgL6NmhIJTypOFYn4akEpkWKVEmksF/m3hqOpN4I4CW7JW/WXi8H9QcjSslVlekRVVmVnlTQlYkdiDzshEXmNo8+Fa/rDasgwvHhSpNeqrkRs4T+HquUpePdkOWA53LK1k/+YcEaN1yWllGdFVHDLeQygXrhkSplQ3YhAKCWifze+MPcLnHhIsIUzDL+tgk4iXcUBT7XWtTOuXGJzxmsDWGfXhbIkpzdPryIVvYB3XyMmkYMUP17+Y7ZktvBSp9cfaKA4QJPTgN3xvDpHxUTKBSgMqDiALtX1FFVA7bnNC7eD66rUYSn3QSsO1JSILYSavCWJJCL7UlimBUOdMP5o70BNO0tgShIRZU9V+IH1KIkoZDqD+9Q8cnPto+HU1FBMxPvRNW3NzvKL+QRBR1wIT9B2Mgi092ok4lZC6dDKuhmBnWXoe2YoJRKNiST9lvTa8VD8QFMiEJrEbRWcj6hKdR2pRCqeGjFtPxAfDmCHUBduXWPVsD1DsJPh3lmAqZGBjfAWF7Wys0yH9+bynFo3ybt/nSz9OhGQSqSAJaDedXGFqyZ2CUUiWmHhmPSYqhjIsEokE5BITznjLQaaJzFW20q43qnX2tunmdE2Q32PZKPOzUNVfWf3GWISOUihtoe1ErjC9Uikaw32vZ9R5ygS8Vf88sOik0jTw1d79pWEbHs+uAU2LVMrKNngEIINoEIxEYJYhCSRej2dFN9CyHRB27u8CS/TBUKQHAp8ZhuBVZZKxN/cyfLVxHA+spzwfRKR92kUhsIBXjnJFgZVJpkwzEBlqOp7Af2bgoJIfYLWazN0a66UDalAWwD/8Ei1neUrDj2wjp3W6h60mEhoEvef1y0Hx/X4gWa5ASEloibMYZWI/3dJUlpPreAikbbziXA2X1WdSBROOpQSDITqRJQS0ZpkeoSZDEjuuVu9PeSrlEjQiUGUC5hAvb+A2Tiob18ETeufhnx/yM5yLCekhpuTzWTL2SpbtuyWeeCtB2jS92RBQPMUxlaCPlwJK6EU0MmTTqY52azsrEY/8aBjqGOHL9feREwiBylkl1xXuPQX+nGFS3shF7KVlGT3JzvZOTZkZ/V1ePaVuvAgHH4GYMDax9SHX7ZaB29THyCUnWWJ6uys6A55KibSMM6roM50w6t3k7r9b9U5tgCz6JFIWVTCSiTSn+iogv+7/LJXCmAHJGKBR4ZqAMF+6aqPmBmk+Mp7cYQAUYFuv4K5XAhW4jIjSogwqRUzocwt+6hzvQp0pUR8EvGryfUU36pMpkrRu7Y+WcqYkFvW0n61+EGURFJ6PzJJChElUrPYsFytUOS4dERJZKdKJBUmTsDUSRc/JmIYwb3K+Idpedv7Dm6Bcq5GYN1DRVRwK0UMhFrArOtfF3rOSWseg6d/GEpASZgJktrv8rMeVSNLOpbwZt+bfKN7uyIuT4lMYZxGIkPFIQSCa/7mX/n39/87jYlGlR4vF3+6otnXiEnkIIUkkWwpqypl2wvZUAaMaZie9SKViD+x6HsfNEa3FS0OQdMhnh2S3a5US8jOUkqkT60uHYIdx2R2Vl1UiZSLXuFe/Rioa/UUROfrpPQ9LjQ7S/4eFNYFk/Y/9/Ry61b/iyhJxLed1KZUkUkrUAUD6osjtBRfR/aakq3jO/0usHrmk5XEaxFSDttrhSFlVYBW6S8nRanwtG18g5O1zDg9JTgSWA+lvUI4fqCn+ELEzpJkYQIG99jTuXvTlmEC66VqctGfS405bP9YO1MidqpKiYTsLKlEIMg6k3Ui+hghElhPVQfWRaBEntn8DBPKwedwcrkMVthaS7z5GOnbzlK/y7R3PbMLgq7Xc/IFWvQWNC1TVK0IBHGTCb//ElTKNOW8jsqZUkb1lIuzs2Lsc8gAbq6cozvnkcTYgS2hqmBrcAtcOxaeugkAQ26QpKGKRAqDkGz0VrL5AaY2TwWCVGCAhhd/7vVZyvUF2Vlaq/mSH+iOKhFbBqvrx3kZU8UMNE4IpZ06Tj0mwZiUEtHTWYGjC0Wa5fXlcd92Mn06MyOTlq4KVAsY2QoeTYm0HOZNWp0rguurzCc98KuRSHEoHBMxI/EMGRPxiTxMIqnwueC9D5HAuqp6V00ZteaOOtFB7cA6gOXw7rJgRrEGWcgU3yi5QLUSaTks9Kuxs+aFTqoqO8uMxpCU2ksEyk2+BqFKe12hJVURoytcRKWI4aSpd4N9bd6XDeJRk0plSDVj//6L6ljihdtDCxm5S2Y0zVf1chOC5orWUbl5ckiJyMyrceUKrPodTU979TZ9+T61wCq4+0/r+JhEDlLIPcyz5azyX8f0dgTpnIAx5JEL671qWTOyoyCEi+VwK55SSDZCshkKA9z0/pu47azbaO4LPFzzj1+GLcv93llBTERVrPuZLVVKJOfbAw3jUPuJGya6yWInm0OrREtlZ4Wzg0LGTEiJJL3NqPwxcfK/BueZllc0WBhUKsWVDRgBW/aastMw5kjoXOVfN6pE/GNRO0tTIra+da3laCTiTe4ha6dG2/QqEvFbs1Auaq1F9I630cC6ZmfpDQxNJxi3PG5pJFLR7axh6kQA5l0Mp34jGN4I7KxQxTphO8tL5dbIUcaQVNBfi09Y4dc2pETcMqbpcIgIpsaTs4GybRDC2wpgMLCTHCFUd2WAsX1e0HtIKxDtzfcqBZ8QQn1vHAQkGhhrBWpSnpcWLtzzGXVuZy6I/e1oq4S9jZhE/oqweMXiKg93OEg7K1fOKTtrTLmEJTOfIFwh3H44huZjH9p4KBOsen+nO39driwXqUT6aUm1MH/CfJK/uTw8gGwPlIIYjIWhJuaS326iKiYiv7gN4zxPvZipCpbb6ebQh9oWeJNZZBILFa6FlEgiCKyPOwZO+0bocdIWkipFmIESmeo0M64imJRogvZ3Qc9bwXX1mIg8Vi4EFdrRmEhoAk5WxUSGt7P85ykMRSZx/9qlrDb562OJpPjqJKIrCtMOtuCtqlgvRZSI9vzRwLppwpxPar/unESiZxj66yUzwsC7D5kskYxkD0LYzjIttWioiAouAtMwmEKCRU3zOG3y+5mfj6z6S9lQurFHIsGCp/HVe4Ggx1yxUuSUu07hxhdu9Iakk4jwxjNO2wxO3ZMAREWd25UNEjEKsZ0VY7TRl+9j0bJFfOGxL4zofJlCmC1l6c51kzYT1AmB0RQUeRn66u39Xwm1Qbno6It4pGm+//UTngrRdvAj1QT5oEAqGVEVZLdDKRvERExbfRjLldqBdbtzpTcxjXm3TyLZUEt4ADvVEm7sh1Qi4UlMr7NQq9Ry3lMi/mRkWjUmNv86avWqpddOdZp4tHOQ8U6T14Oqd733upQ1b96OKJE6vx6gOBQhEU0V6DERSSJ6anUtJVIcqlYi8ri2x4g3FhmIr52dFSqss+yAuGvZWXrMZUd2lv44wDR2QiJOOkz8ROys0BiTXio4BDtD6ogQmuzb5QqvW5iBtzA4y27lpjn/HG71AlDMhKy1xBFnhbobN/iTvty0KtqBwWk5lGZ9gzDTob5xIvUiXPwq71deT+/yWyiEiw/3Jf5/9t48XJarLBd/V0097+kMSU7mhCQGEiAxSgC9hCkEZJDpYgRBxAEFf6I4oHAZBBRxuDz4U5QwXAhcQVEEBEmYwhQSCBCIIQPJSXLmnHP2vHusYd0/1lDfWlXVu7p773MOsr/n2c/urq6pq6vWu973m7ZA5L+JqXh2o94VRDz5xR+4GDcdvEkv68d9TZk7kQCR7UFLAALtLqdm6E/5M+Di56VF8iBDDVdI5FJ/xWQilSlAacLRwKD7AERtqbCT+kRYmg0dSpb0tHYbz1lNJQFv/3eBnQ8VPgC/LpodRWbzKrc2q0OFAYj9u34OEyFvLDlL+0TyBjY5AOnoLFUKHjAjgmbPFuC0st+MfDJyMwbp9R6sWXKWlahn+UQ8Wt/Ky9aZQn/F8omQfBNbzgrbALgp+ZHXLpXWHD8FbscCC+0TyUlOzANkCiJ5n1PzKrC9JtSx7tvhzO0hIGI9IyqEOeYxYs7hMKT5Nisiqe+DBw7hM3tlbgaZ/ABAUJmWgSHirlCDvmIiKuEWEKDBLnwmpqhPxPGA1sm4KLImTQCw7SGoyImd8rEwztFfp13CsbRSIMIY+/2C5b+Xt3zLjr2pDNYddZMW33r4VgDAv939b3oZzaZVjvXtSpNtkO1VUtzpjwIAOKRMSMWtmAl1vZVUh65MaTkLANA+YtZcAoDVQ0ASaVnAdSiIiEH9IYMQL18U+3CZC3bwVmDXJWKloJ7LRFCdMQv7AaljnZgPIsNZjnUlb+RKLHI/V6+sYlsU40nT5+WHys6dLZYt3Gc51i0mUlNMpG061g0mUknZkmIiNKM7p1ih2M6KzgLENbPlLPW7URApmuU7XgrcebWz4ijrKymyoorReeZlmQiVs1xbOlP3Zk4wCEJz4qHqdiWJYCIOmJioRF1RegbAJf0BTlcJgf1VYxLiV2fAAFTlOahgE8VAEsLCA86B6rSWqBxAXL/WyXjPwUO4cO4n0q/8lD8DXnkLAjlJUOHyU0mCQVjc+fNYW1km8vqC5a/bqBPZssls/6oAEVpeBEiZSUIilpYHadRIp7eM+e485hw5gFAQsbrj0YQw3/FFFV2lx/dX0oq4FSln9VdFPkT7iBG9Ik5CJHFpJuJ62s8QyQHTA0+bVjFHlG1X3fv8hnjIrXLdqM0Y9Z30TM92rHOkGrouQij8Aqr1LZVLtMll54QRbti7HzuDaTKj7wrntVsRTAQAFu+zmIgFOCpzO8NECsJjZ88CAAQ0uilPzgLy5aywTZIN0wx8Yx1rW6ORlusRJmJlsqs8EZuhFBn5jmxdn0iWiWBYNJuyPCZiDcAKwBIkwicClkazreRkhq8eMnwiQU0EnNQkc1XhwQo8qJxVkSCi5Ky+6ujYPFk47Mlj4rV2AYyhYoHIdJKgdwI1qhr6yzHGniBfuoyxxwPG83kOgBOHU/2Ym2IitAQIkBZRpLMhmufRXT2AdthG05Uz21wQEQ8lDcMUdazmxWB5+HYxEJEOfqhMibDKwRrQPqKjoS4MJbWX3Qdd+eD5jp861qWc5fI0zNZTAKbOTzn5O6TkOgDIWaEDhgRcyA6un0lu82lAAE02dCtw5eJ8JhJk39sJga4vCgi6AbD/22khQMAK8e2Ja+V4wFf+Cv6Fj9O7ZRQ46DFPvQx49V3wb3k/sOc2+WUKmIgt8QCmnEXDgek6gDHAe661XN0/riVbKce6vbzIKBPJA2xqc+eYxR/tc7TlP2WlmIjYT8IT7ViHVxXryRwpbdUZYPWgMdj7kk1W5T3asGQs+uz5FhPpOHIe3xK5JS5Z15NVHgL5+6rSJ9NxggXf8jEeR1vnV8Z75f8qgPeR5RzAIQC/vRkntWWjmwIRu3ihS5yGyvokP6HDQ3SjLuqsJcJX6czNYiK0qq/PEzGrnZMg0iM+kaCZRvf0loH2ETAA/3f/IZyhugVKEPEkk3GZq1mT7khodL6TD1tQN//bICIHDYcxJJyLh93xM7WaPHChjXMQn0hf+kQcAAkcxwIMIJs05/o5g3FFzNIveZHoW05LumcioirABU8F7vgU5u77GrBDnmdRZJMbAK2T4BaBTIEkZTAg0nddnPeKuY61T9eIzvLTxlMZx3os5Cy7WVWRGY71ddZ99CuB868CPvPc3O09eqzmzvQ1iTLTFpqdMwXD5oh5LEVOlvpEwo6OyAMA7LgAOHyncW9qEIGDWpJoqUuBCPWJBByAX9c+ka4NIoS1uDLoIvCbQAisSJ/IVJKgjxMHRIbKWZzzsznnZwP4sHot/87hnD+Gc/7JY3SeW7aOqQQlG0TymIhKNGzFCbpRD52og3oSCwmKDk5Wn25DzlL1spT236c+kVaa8dxb0ZEyFw9Igp90WHpBCiLKca++g8dJAp+ah6qy7KqTIvXLAKLPOGDmejiuGTAAlWdhy1kyxFdeM+bm6PR23xTminBVxyODsbyG/+MP0iQ3mginjiWjwfCCDwG//Bk8vE9CSYvKqOdFPhVVy81zrNN9k/4ohceBNUAbOSMFVXxtX0mROenw4+Rda3td34rwKmJLM2fIhdV8ILPlLOITMZhI1BN/tOJwdRroLxv+mSBoAm4FFS7a9Kp8ljjJAREwwK9hWn7WVRMzCSJekva1V2w0kPfciiyjMp0kCGE+08fTSvlEOOcvVq8ZYw7927xT27JRTLXytEFE6fuc3PRKzppLYqyEbURJhHocCQmKzkbV4CoHFxr55akQSlW1t7eczRMBxABFCw0CxkPpBqo/g6vlsogwEfWwKlDQg7hmIhaISCalIqw8QGjOtTljNY9z4hMJRQZ9EkLUUpIAlMdEGlY8v3qQ/TqgkiHVgEYHHzvZcNAW/hOSP3JWSEJBC5lITl2qQiaS4xOh+1br9lZy1ieJfE6+zDVSiO86ti4Tsc/POhcjOXP6dPG/KJcisuUscewECRJOHes9wUToxEG+NkJ8/QYQ1FHjHLWEw5WRc7FkFTHpBRMAgFfVclZXPVNNyURiNYHi+vq5QQMu51gepHIWkOZ6HW9bT84CADDGLgXwdwAeDiFtAWIax4Gsv2vLjr2pG8quHKqLy5H+4qruzlwc44ehGPjrUZhlIl98q/iv5SzCRBSdVyDSXxEPnOojUaFylqUr77wQWBOJg27QAJIleMxL5aw4ZSK6g6BmIqoHt2IiR4HqDN5z8EHs8zwNXikTUdvVjcHA5zwtW67CbQHAC9I8kbxB0GI0ULPMxnbNrvTg7LhS/gmz0VlU+gJAM6fVe215wGAM5gX5GIX7kMvV9VDlZAoAiLmWnKVfW7KVHeK7npxFzF0vkss6J/F+HSZSZOc+wXiro7N4Ag4u80QUiHSFz+mylwEnPUz4uGAOeq4MOa8mMWo8gVvfDmCAWIZlR2RiF8h9tyQj76gfPagDlekURID0+vp1BBxYkWG9yik/iAeFbXiPpZUCEQAfAPApAL8CoLPOult2HEyxiwwTkf1BkiNpW1kFOLNxgjVZz6ce9cXAT2esqk+4q5gIARHFbKZOlVLOqvQpyJu6IjOx+6sZDRonXQTsvgEA4AVNoCckBS1nySQtUe4PcDhPNWgFIrqNagLUt+FRC/fiURCl3EX9K3nqdGiupwDgqW29qhj41KzOrWgwy43Oauw03ydxunzhXrkPWoOqKQZpzwIRFf6sBn15ja85+Urcc/tHLSZCWUReDsY6YGGfk9pWSYOKzXk5xxl2rIxj3QrxXc+xTmzdjPW8/RlyFjn3PBB5/v8R7O+cK3K6Kor9xEmMBDKU3auIKLSwK8D26X8jVpZFNY1wY7cC+HU8I3KxvLoGd/ZsAPuRSHUgIRO7gAlZTjGRK0Jyf07tgicj30ThUPU71RFwjq6csEzLSMofKSYC4EwAr+XcDvbfsklt3+o+fPiOD+PVl706tx95GeOcp0zE9onIm5UnqS6r5SxS9K0e9oDWqZlQWADEJ5Le8Lp2U32bGIz6a2ImqnRrFTEUdlNHrDgjMaPTu25JEPH0QBLJPiC6BS2IfGDLWYDI+qYDeFDXM0WPtsCtzwEQwKi/iesLCSZKpTt3WIhv0wIRxUSaO4G9N6XnoCxomSCiAhdWD5nrymNd7k3j8pVVc8BU19TxUj9CoZxVzV+eByKOI85PMUW3CIAo6yFz8MICjKQCcUnLZX22uQGuPXAoLVZIQYQyaNpaV9nDnl28WyM6S94bXi1lIjQnR05ejIrCXgXwa3h6uw2srKF32k6gux+xLCQakzpXgonUUOUcX3pgH6bnzk33s/08uKvfA3x5vzspYxQVH8Rv3wqaACIjQOZ4WlmfxscBXLmZJ/KjYrccumVDHVrP/Pdn4kN3fAj3L98/9j7CJNTnFK4dMj5L5HOckJu+J0NRt8Xp96gPutInYvsBmB44jBBfzsW61RnBOgZr0lEswUOBiGrVqgCosV2wF2muZCwe8/T+wyQSzkk5Y/Q4h6euuS1nAWbklRcAfp0AEBnIbCkKSCNvdFHBQIMlKyNnKXA2/B+0fEhLfdH0vVfTeTKZmlqqVS8FERksUChh5UVh2cuLGEqlJSRBwJQyXR9MzRmLjms3q0qszokj2LoFGOU5PbI/wK4oCyJuXojvzoehjKlseVU7i6nKzFE/ZSLK5P1nVDxwA7FcyoKuvBdiyURiMrHzWRogsD1J4FNfzo4L4EoJzAM35Cw1aaslCSrynjpRmEhZEKkC+Dhj7HrG2Afp32ae3IlmX9rzJbz0upfio3d9dEP2t3dlr2YOvbjACVjC6Lbh4v3GZ7EEDwNEeovwOMd2wkRqgzUx47JBxKvoGSWVszzOgT85KGezTSlbddNZsxocw64YWJRju3myMeB6sgCh53gkOku2tX3hvwAPf4GM0pKlvtXARZkIdZq7AkTSJEXKRMwwX/GlfMsnkia1uRlARVbOUkZBxJazxBcV/xkDmjuApT36eMY2KnmSDsTq+1FHsVsgMZGIp2ImYoFILhMJ8Jl9B3DNwQeLpS1bWksiAaojONSVsTLAY0d70e6CdhDE790JvOy6UsdWAMQ5T+UsvyaTWTu5eTheDhPRIFIT91ksmQJlIhXmwihTQ7/T9gt0ZJfugwMAfk1XfKhxjopsL32ilIMvCyI/APAXAL4O4F7r78fG7l0WX1eF005qR3upw7lrRYyMYrRBTWQ1+0mgQnwpiCyjyjlmqZzVbwsmksmDIA5WKmcxJx3IKs2Uifh5TCRMZ9PNnUCLRGfJSBZDzuKRyO9o7AQe8mSRuc6T3CgZAGZCmVsBIKbD5wAAIABJREFUgrruHOcV+ERw6mXAr1wn5SzSIMqr6G1z6zlROesnXwo88oXZ5Yac1cwua+zMMhFalgQwB+u6GVkmPi+Qs6jR5X7BwFVpAWpANHwiHk6LYlze6xf7RDKO9VjKWaPH2rjrFWDMs6I8EQCYOiVlgesYYykTEWVPJBPhiZgcUYlw6QFxvmf+DDn5QN6P8r6pNOT+ZHQWkXMDxy1mhTsu0AzH40jZu1/XVZvrSYKKfJYGJ4icVeqX45y/abNP5EfBVH+AhtdYZ81y1iXx6h3b+TyCUW00tGSBXDkrbKOacMyRXiC1JBaze6vGFL3JDTnLHigHa6LEiZplqciksCsGlvocMA8RD08SGlWIr+v4GqRCVVNLtjb1OBfx8zTrnL62I5L8Oly+AjDAo1HodDB+0huBMy5P5SziWNedDXNDfAkQPeMd6WvKRKhjVzER+sA3TwL23yLPXflESKl2wJKzckDE9fHBA4fEuV5iDaCPfRVwzxfSOmOAeb1sOUsvL2IuOX4Q+lpd47hAzirBTHL9T+tuVJCxPqK5rgfEAAdhIuqe6i6aE5af+lVgeR/cR/wicIus+uRVrAmOqPOVqDwR6hNhngXo5Ly3nat9LTo0HdCOdUBUtq5UZ4DVVJY+3lY2xPcJRZ9xzr+4cadzYpvKxWj4o4PIwbWD2FnfqRObAOhWl4DJRK6//3q8+suvxhee/wXsrBfIJ8TUfjzOEaos2STGX93yV9h/VBRg5BREog6qPMEs9YkkUi6yHesEVAzHumNJNquHxGBiU3/FRBo7BNjMnGk4XJVD1HN9zURCHstMcxdwfXiAyOS1B0K1f7t2lF+HE8v8EgoitPKtSwbveEAc64FmIrlylgLAaSsCqEnyR6ZTn0/aL2Qtf92MT0TKWXk+EWqOj0v6ZkUBbU9+k/ij5lVlhn6SlbP0OkWO9Rz2wZxUOmMMOpOd1s4CgJd9TrRLXsdKRWdlNqJlUwrYWAlTvq/Use6kvwuPzftr54XAL34U7IEb02UymEObX4fDgUiVPSFMxHc8K/TbN7ZT5VSMq0GZCJcgAmAQ/giBCNLyJ8p2QOTN7IOoofVjYaoHBx2Qy1iYhLjyX6/EZSddhvdf9X69nAKH2jcA7XO5b/m+QhBph2285aa34FWXvkozkWaSIHQEMFxz2zX40B0f0uvHVM4KO0LOqqSMoK5KczguPr9nPzqOHOjJTW74ROiAo5iI65mzZr+a+kS8CvCrXzAHWABn1k/GKxeX8LO7TsO3nXvk9YrTPiCOB5dz+EmczRbfcQFw8HvI1IsK6nA7IsnECPGttPDnh4/i7iAgDMCT0VnKsV7R9bpydXrGgBd/Eth+nrlcFUR80hvN5edcAdz6IYBG4RhOeBV55YqBWTEReuw8OcvwiZQYQBkTLDFsmwBFgZWWvMmL5qLnlRduqx3r5LPTf3r9c8OYTITmieSxxpJGa2eJupzMvKf8nFwMI+zazUitLjgSCSI0T6Sikir9GtAPzevImI4m9GhAiF9PfSJgIrkRQH9gFR89TlZWzjqbvmfCA/o6/JgVYFRy1qhREaqV5S0P3oIDawd0D2ajECJpMqN8HNW8Rj7Srv3BtfiP3f+BXc1duPyUywGIEtR9iBv3tqO3GetT4OtGPVQ5x0xjJ9RPWFNMBMBJcQwodwn1iRAWxWwQUdoxLU2hwiRVKYydaZlrZY5bwW8srQBBS1dyDXksQxw9wPHgccBNQqBqMcCTHy5AxNihI2eCeUykiae3O0C7k2Ui1LGufSIFA9M5j8sua2wH/nhfVod/+POBMx5lSlw0692Y/VcKorPyfCIFfoph5lcFiNBBXp1vY6f52+XJVvR1LojEZojvKLZeKXhlz3u/6BppnYPnjS9nKd8X5xwJk1V8KXDkgYjtO1S+L0AHdqiyJ0aeiK5bVpU9X8zzVpMeE0RqOi+rDgdVDSInBhMZq2wJ5zwG8FYAf7ixp3Ni25qkj70RW1PSUtBfP/B1/Zrup7OyT79W8pQz5Oe5ff52AMBpzdPQk2DUTDgiebPZ50iDkvtxH9WEw22dopf5gDn7yjGjSZPRBa+ZDfEFCBMZZGfLv/0d4GWfTx8i19NMJ+RxWn3X8eCp8idWJV5dFv7oXeZyvw5HhgQbPpE8/d8NhASjfBZuoJta5RZgHGZFjlw7+c1wwltZ4mGenJVTibYoxHeYadZD1lc5EBZDLGQiGkSsYypGl0Tlz4daWWf8Rc9Jf/eisicjmvJ9ace6SjZUZjNgIHs/09/Ir8HlPC3ASEN8de5Hzm+BdNJjM5GAgIhmIhP4UTfSJql99WTgBColeQxsoScS1QbEUVbGaALgXQvpgNftphVou2RW0ZM3R2QlDgLAofYh3Ld8H34w/wMAgnr3ZAmNVpIglD9JFkSInBX3RadBK3M3N9GQFI8zuibaTCSJRBa2wUSUTyRnYNl2LnD6TxEQCTQTiRQTYaKw4U/2+nhkr599mC9+HnD65aLCK7WgAUcGDbiZSCRptAYVdax7Ve1Yd+zZ5kbZSRelr41ugkG2fzmQP8COKmfRYzk5TMT2u+T5QYAUyPPCbXXb3HGYyBhDETmOn3fvljSdbCi77og8Ees+zmxkXXNaLVgmuyoQiQwmUjHXtyIAvVwQqaIiH986c1FRIBKdGCBS1rG+FzAcAXWI3JHf2oyTOlFNgcioOR2UidyxcId+3Vs9CE8WbbvmgU/jtuvncc2V16AnW3uGB78HnHSpsa8nf+zJxvswCQkTSRDKn4k67QErxDcJUQMTA8cyWSnvYSGZ7kbjICMXQpU4WbGYSC2NziqanepaUL7YfwKEPEEDEDq+6+N187K20zkWiNRm83MB/Jruy2B0zAtymIjjA/Gy6VjHOnLWpLaN+EfsDHNdDHGdgdguz17G1G9DBy4lw9gl04sispR/xuobriPx7P2XtTHCguk27gTRWcr3pfNEYIFIrpxlgRb1J0nHetpPhIb4ymujJMoME3HlfwIiXg2BvCdrzENF/mYnSnfDsvD/IgC/RP6uArCLcz5SsiFjzGWMfZcx9h/y/dmMsZsZYz9kjH2UMRbI5RX5/h75+VlkH38sl9/FGHvKKMefxOIkxmJPDGbKJ8I5x9u/9XaDXeSZApGW38IPF3+otdLuYBVVzlGTA57qg96T69slTPIsjEP0ZInoVpIgVHIW8bEAJmXsJqFooOPX0SBhvhmdF0ir1AJwaCIbfcgMPTiPiQyKBzrCCFQhvJAn6ezGKP9RMirOr5NmVkVyFknyi83aWWfEwClRhEqejLFRprKp6QBVJGflWVH01DDTTISsr8AgrwNg3v5Vro11f5lMZAwQKesTsY8pzZuAiTh2dBYr4RMZxkSkYz3WbXKJY10xDJX4avtE5P3qW0xE1eqqO57OWO+cINFZZUvBf5lz/mUAXwVwN4DvcM5X1tksz34HwB3k/V8A+N+c8/MALAJ4mVz+MgCLnPOHAPjfcj0wxh4K4BcAPAwCyP6esXHuvtGtHbW1c1pJRavhKq79wbV46XUvHbqtApELt12IbtTFgfYBAEA3bKOWJCK8llhXHie0KH6ejBYlkXawtZIEMROA11OVWaX9kIW4+AMXg3OOHo9QZT7g13D93v340qUq3j2PiaSzKKPyPwWcCgGRPCaSJ2cpIxVftZyFJC1XYkgpQwb1qz8CXPlWuV4jDZWktwc9T0POCo1kwysjB9fvPWAW9dtoe+lnxDlXrbBjBdr2zPy3bgJe8a30fZlkQ9u0T4RcUyWj5vld9LHIueSVjlHr6ByX8qzgfBWmPBYTocmGw/15Q3djgQhjjm5DDKAQRF68vIK39OVxMz4R6OgsI8RXDbmK0VmAq5iIIWd5NR3nUncCuH4drTjRpeGPt5UCEcZYS5Y46QLYD6DLGPsAYyynbVjhPk4D8HMA3iPfMwBPAPAxucoHAPy8fP0s+R7y8yfK9Z8F4COc8z7n/D4A9wAoF0M4odHEQDWYq3qUdvl12xSt3VEXUTnP+cRz8MR/fiK6MtS2ZtW1jOT9E1qgsW91H2wLk1AnHbWkmh/xCD0eZdYFhBTX5zEqMilvKuHYHsl1c30iKRMx5SzLJ6KsiIkUgYh6QL2qKMENwURyQWQYE7ngqcBjXqn3qav4UhCh22fyRFLHuv7O4ziIy1ptRpwzNaNxlHXsnRcCO85P3xeVPRlm6reh61/6EuCi5wKP+f+KtzPkrAIQcf20vH3eoFtgHzz4IK7bu388JkJ7nkySJyK3TeIQnDERIUXBMo+RehX8wcISngV5T1Em4vpwwRGpNrkxkbPUC8VErCKVngRTg0G7PmL5vuaI/KiZJMby4MQIji0rZ/0tgAaAiwHU5P86gHeOcKx3QERzqVFpG4AlzvVotw+AChE5FcBeAJCfL8v19fKcbbQxxn6dMXYLY+yWI0eO2B+PZTQcV/lEopKyk1pvtjKrtz/cPYxu1BWhtQUWWr6X+1fuz64jQYRxjoZkAWEcolsQ87A2WEMPCWpOkD7sPdlMaR2fCM0TMZkITViztOSwNzzsc+4c4NnvBi54mpbLQspEjGSskrNNKScAMAv7OeaDqf9TOUuVuwDKz/A3yooiovJsnBBfmpOirD4HPO99+bko+lhUzsqpP6bOR/lz7Ci6IdbgXBRUnNAnUqr2VuFupGNdPseZXnvDHOvaUU6YCHMNJhIb/USkKZ+IleuhmQg9B8YQyd+74lYAr4rpJMFyeGLkiZQFkasA/BLn/G7JAu4G8FK5fF1jjD0dwGHO+bfp4pxV+TqfDdsmXcD5uznnl3HOL9uxY0fOJqMbBRHlE1HgQNtf5plabyaYMpZ34x5qnKPj5P8MoZWP8sDSfdl1khD9qIMK5/DljKkbdZHPQ0RwQASg5pJSDXZHPmqEihsgYoT4EhChszZP5iXQHuO2MQY84gWi3pXqBw8U+ERKznClYxOw5CxqagBS0VnKsW5ISpvIRPKsqAJvno3lWJf7H7WjA/0NGkNARPlJxvEljRWdNQaQ5u1GXr9IPm+qPbKuNp1376osfTWZomzcceGC40C4iq/s+4oeH04NIzzUlc+KAuO+ySZUNKFnDc2RXO66PuBVMB0nWIp+tECkB5GlTm07gLJZd48F8EzG2P0APgIhY70DwAxjOvngNAAH5Ot9AE4HAPn5NEQjCL08Z5tNNQUiDnN0hnhUIBnZFkopbPbWjxjLe/EAVTC0CYjQRMbQKrB2eClb7zJMQi2L+fJGXg2Lae6DHdFRsOnV0pm97myXM+MqkrPourR/g28xEfWQlIjYoTNAnSRogEjJwckLUjlrXQd1kDalcmXFYjXIbqaclXsuFBjWmZkX9RMZZspfNWKek3EuRQ54g4mMAyLle48Yx9SvJ4nOEuAaS1lah7Jf8Rrx3+4ho8yrpMBPJ4JMpAx+v38Er77h1boA47UHD+FUJn+rugyp7pl+DU8Ohy7LBxHPFQrCTJJg+QQJ8S0LIu8B8DnG2MsZY09ljL0cwHUA3l1mY875H3POT+OcnwXhGP8i5/yFAL4E4HlytZcA+IR8/Un5HvLzL8qGWJ8E8AsyeutsAOcB+GbJ7zCRKWf6TGUmw0TWs0g6HGcPm1Fc3WSAGnMNEFkhUS+fnf8uXvmFV+KGvTcAAJZX92f3nUToR13BRCSIrNiRM8QOrokKxE2vns7sh4EIlbOcMnKWVTtL+XVKPOQGiOT5RNZJhkw3TkuXuOsOxkHalMqeqR9rECnqLJhn42asA2koblmj+y8a7B0vjSzbzKg245gUSMeICFO7kdtGctKm78NLXwy8frE4mMAN8v2Ijqur8fbingYRhyO9lusxEQtEYgoikoksT9A+YiOt7JV/K8SM/xcB7JKv3w7gfRMe/48AfIQx9hYA30Vao+u9AK5ljN0DwUB+AQA457czxv4ZojR9BOAVMnt+060rH5Bpp5KCSL+cYyuSADSdmH6KpWSAc5iHLkvlBZWLAgA3r+wGVnaj6lVxxelXYKlzFLaFcYhe1EMt4fCDFjAAVoc43FQZ+5bfTB927RORD8Sz/g7Y8w3gux+ykg0L5CwgdVDbTIR+vo5RkNIdCcdhIm5AorNK+BZUUyp1jsdNzhrBJzJWiK/8bUYtIV6yYZS2YwYiNJdlEp+IZCKyVbRDgbJAagYgfq9cqcvVkxggDcTxzn4c8PjXioUqudOa8LnMAzjgWzJs7DgAErhuFfBqmElirCYD0QV0zI6oG2Vla2dxCMCYFDTAOb8BwA3y9W7kRFdxznsAnl+w/VshQO2YWkcO4LOLe3BgTihqUckeIEprDeCgniTaBzLPB6g5AR7OOb7PBJVe7C9mt5czmeUwyzDCJEQ37plylgQRn3OE1szxUEd0PmxWWumgYjORS14EXPA0ASJGsmEBEwGEpLWwO8tElJWSs0jymCLJ4zjWR5WzVO0szUSOQXRW0bno1yP4RMrKWapI5LBw3txjWdewsSM7aNMJwzhy1ji2UT4RV/lEpJxVVqBpnZSt+gAAjqMnMYDwfQKA88TXp9degcj06camniPK0tu+vD9MZsB6e3D5ybsA18O0DGleGaxgrjokKOIYWNmM9XdChNbeSJY9BsD/5Jy/arNO7kSyrkzom4lC3Kd8IiW15UjeRP75V6G5eLMGEeXg/vuohr/u7cbHW00s95Yz26vor6Wc44VJiLW4jyYcXfphVZ5rM0mw6Jo348FV4UJqBdOmY502mQLSQYEwESMlx5aWFIjQaJMRmYgJIoqJ0BDdUZhITnQWAJz7BODeLxrrAhDnbTOR4wki6zmaizLKh9lP/5qQZh72nNHOy97/792ZlbWMZLuN6bezrm2QT0SBiOr7kYnOKrIXfdyc2Fz9Ee3joE9dXz6/LmXv1Wnghf9q9nyBvF/jrJx1ht/E3+47ClwoJorTfgtAiOX+8nEHkbI+kasB3GIt+zaEvPVjYd2+GNxnkiSVs0rKAmo9rzaLKUvSqrkVTHcW8PC+WGdZOr6N7eUMaYkPMBeb6l2URCmIyJt0VcpTdhIjABySiY7N2jYzxNcGBfX+0a/Qi4yeDzYoXPkWYPv5wGmXZfcBlHrIaW0u/RDR7cpGZ7kVfWNnqP6L/g14wxI5R/lg02ugQGSciKFJTLE7x1/f0ayig8qsq8xxRb2xYRJN7nbWNXS9rOPfqh1V2n7lOuDJbx7tfPR5bIxPRDnW0+isktensc0MZ77gqSLSEGQSBBFAA+RMaM57UibaTd2vmahCxfAlaM3INg7L/eyk81hb2Ssvukaa5uYs+29rXen/mI4FiOxZ2YO7Fu8uta26Ob3aHJrWwF71qkD7KAL5PCy1syASrh5AnMRY5Ql+IoqxINlFE65gIjxEk3kaRFYIE7HtYEfU5WrWt5uOdbt2EmNisCUDlBmdZflETnkE8MpvmcsMJlICRAyfSE50llcWRHw9E8x0vLMHXBV5s7Q3zWg/XiCi63mVfCwd79icY5nzscp+lLYzLhd/49hG+UR0iK/yiUx+TSkE9KSvxS1RAcGVz0kmIEQxHjnRmaltA/pHsNRfwvG2slfrqwDewiTPk//fKJf/WFh3sAqfczR4gpjH+Itv/QXefNu7Sm0bShnKq2/LDOyzvohsUqWel7vz2e0781gZrIAzYAfpRtgAkyASo+H48OUNpuSsBs+CiCrd0mzsJJJVkh/5ZA24Qx3reUYHkzLSEJWzckN8S4KIVwHTctY6x1Wa9tKe9Ds98mrxn8b+HwvT9bxKDoiuf2wktzLHoCAyTuLgOLbBPpHUsb4RIJI+O33FREqco5r0ZAJC1ARKTt4qsnLAqL2NNsPKXq3fAfAkAAcZY9+EiM56MoDf3qwTO9GsO1hDLUlQlUziaNeMlOJDEriUHOVVZtCyQGRHZRp4yacQcHHTLUspyiH7i3isaetOUiOoKUGkzWO0KIjIfTQKsuHrSQK3OmPO7EtFT1FWUMKZS0N/y8hZTh6IkFu0tJwV6Jmgu57M0TpZ/E/ClF096U+BP95/7BzEynTXwJKDsOMdGxApM6hWptZfZ6OtqHHWiKYarGXyRCYwuodeEsLhvFRWvZr0+IVMRDwDngw7jk6ASr5lo7P2McYuhYikOh2i9Mg3Oc+Z6v43tV7UQY1z3abSDqMNkxBBwUCs5Sy/hpY1w9henQN2PRLBxc8HDn8RywMBFlNJgiU3rWqrZK6d/hQA4bxrJKKMScSABgvgyxtsRQJOnpwFiEKNqE4LHVlFJ5XIwTALMJaIlMprAjXEnDwmQm0EECkdnUWja7Sc5JjFGo+V5fX7GGayademWxmfiy2HHgtzfFzYH2DJdSbMWBe/ezSqY32IGUwkCcWkpsRv5WqfyHAm4kkmEnWz0ZzH2krfgRIwbpJ/P3bWjTqoJQREeovW591CEFFRH55XxU5m3uw7qsKxFsibY7m/DIdzNBKOJTmmhkiwvCJKhp1U2w70V+BxjipP8KAqA+9WUZXy0dJAgcwwEJEzR69mhrcOMWfURkgGiJS41QyfSM5svHSyYRqdRTverfUjNCvWedRmBUtKQmD2zHL73yxTbC2vHW7R+hM4lDfUhpWS3yxzXPzzgUPy9QQg4pkgsiFyFgHeXhKK+7HEfhUTyQSEWD4RryF8eVHv+IPIj41jfFLrRj2TiVi1/GltrW8/+G20SXG0SINIDb/EW/iYf57+bFtNVJMJpEy1HLWzVX05x6pkItubQn4JOIeXxDo5seFV0ZC1ueYlm2kUJNr5HOnMkVTRXc+M9rhlWEHFKnO+7v5zyp5QKxuF5PopE5Ez1M/+1yFc9Ibr8L29liOSMQEgALDLbAB2zG3pAfH/sl8pt77rHfuEyCI7HkyEsdSPNgkTkfe1qnHlbEB3CSM6K4lKMxFPPidZEJHSqq9ARDDoKCcl4FjbFoiUtG7cR40nGkTsNHkFIp2wg1/+7C/jhZ9+of4skg4736uiXpnGeWFa4t2Xs3WV47EcdVGXfUGUheAIZZHERlP0Ra9wDj+JtazW8mqoS0fwQthGkHAE1gDz1LNF6fE7KkHqNPZNmjzMVLLh09bapdafzCcywYPMWOoTkcf9xr3Ch/XtB4bM3E49ziDyqJcDP/nS8iDi+OUTDTfbjgeIAOnAPIGspxi2Kk+yMXJWan0eiZInJXxdqqR95v73TCaixo2yuWqbaVsgUtK68QA15ove5HmfSxBRzODe5XuxJB3cmon4VaDSgtMj/hQ5mAdS81yWlX1jMpMJkSCSYNFoicqiCkSUNb0GarL9a4QETZ5knMqPPuXRCODg2Z1BOqsfAUTguPjaA3vxliPz5aQlmohVYqZIkw0Lq++WNEfLWeK4VV/srx8NceNtv2CiY05sJ18EPOMd5YIWABmdtYly1lVvA878mXLrHi8QoSX9xzR136mOoxvjWE/30UtCeODlfCJukZxl+UTk8xet08voWNgWiJS0Lg9RcyuoFMyouzJTe4HUt/rcns8BAEI5w/G8mvBFHLw13VAmKykQiSB6rsdykK8nCSKkQNSQDrUK5/BJs5um34DjV1GTfpBWksB1TGDwmItvNh+FN/XJIDWCnAXmYjrh8Euu3+6TApVlQIQ8OBMxEYDIWeK7VjyxpBdmS639pv9m/GH4ayeOf6GsOe7mMpHLfxN46afLrXvcmIi8Tyap4ut4YJwj0nLWGBWFLfPILno8FkykxD2t5Sz7efGs6CwJJmVaaG+2bYFISesmEWqOj4qXH/bZk6xjceUBvexr+74GQAAA4xyONdu/tNfTYaQBGZRrnCORN3IrSRCC6z7NCkQCzuGT4LhmIGphqSz1RpLoG1KZzxy4/RUw+sArNjOV6e2VtRGjs/7yOlK1uFTGOpGzJsw10P1EFIgMYSL/uXou/jl+/ETHOy52IslZZeuabbSpicckoc6OqNQW6aZUk/tEHOoT4ZFoklaiUkDFFSBRc6zf9aSHAtNnAFO7ABAmsgUiPzrWRSKYSEECWkdGSSysiBa2j+30cNPBbyCMQ0RJKMLg3EAnlH3nvj1438HDqZxF6g3VeepzaSkmIm+WanUWrnTw03lzM2gBfl0nGDYTrqNOlJ3dPE1UDa0QEFGs6KLnGuvee2QNh5YtvdXI2Vh/0Fjpkhu8FBPZODlLdza0mEg/OiZFn4+NtU4u7nVxvOzcJ5Ra7bP/dQjLnQ0YAB1PzPAnYQ9MuMFTx/pG+ERIjyAeo+zd/JDaTvzl4aN4TMMszIhTfxL43dt0AUfXqwr2dAKAyI8Yfz9+1gVHza2gGjgQ1elNa8tQ24W2CDl8fKeDr9erONA+IMo1cy5A5Mo3A0fvhr9fliKTURcBiXaqMUeDSCPhkolISaw6i4BzyURS/0yjMg0EDYOJuG4FiICzBiHefegwTumsAr1lYOaM9MRPvQzYfwtwullM+Yl//WUAwP1v+7l04bACjDnG6IM9qk9kwvwHXTtLgojvKjmr2CfSj2JUvGOUbb0R9ux/nGzw3Gj7kwOlmNGDKz28/EPfxmPO3Yb/+2tjljxR5mxA1j5jcPgGR2fREF8eG9FaQ0/Fq+Cqdmf958vx4KF8T6PNtC0mUsI45+iBo+ZVUanka79tmeC32DmCWpJgWuJzlESCiaiGNI3twPmkq7DyiZASITW4SOQ914SLhDEMpAPNDRqocI5qkoJII0ng+XUBIjz1iXiS9XjgOCWOgQ88HVh70MxDePG/A3+wu9xgNKKc5dK7a8R+IpP6RFQpblclkklwtZkIrTTQ7v+IsZTqlBkBd7wtaJQa0NVvcd/RDWjv6riThzk7ov9HuIGOddcaWkvfzWXrp7k+PM4zIPLVfV/FxR+4GIdljbxjYVsgUsJ6cQ+cMVTdGioFDsSObC6z0JvHbJzAO/PRAICoM48oieCDpzeIUfFUgIhPfC115qZylryZukkfjHO4XpUwEbHOXBwLRuPVCBNJfTAODShrHwGapNNxpVXcN9uTwg80AAAgAElEQVQ2ZzQm4jq0uc/6zILmoRiZ5r/9HeB3f1DqFPW+lJylE8kEuNo+kZVe+hAagQBbtukWFZTlKWu7j6yhHWHygAjZznYjmQizJmVu2a+qS9+s30/G41mfyD/d+U8AgDvm7yh5wMltC0RKWFe2t635NVRyMnM9ztGWIbgLgxXMJjG8HRcCSEHE45xkJJN9SGBx/KpYB0DN8aGGuobcphsPpF/FRz3hqHEuwgYBzMaJ8FE4DuryJxUhvgJEMo9EY0wd3ZCzSmS4jypnUZ8IBaxt5wLTJRz/9NhqP67FRKzorPm1tIDd2haIHBNTgB5PCCJP+Osv48BKtEFMBIgli98Ix3psg0jZDcvWT3N9+EgjyvRx5ftJA1NGsS0QKWFdmRVa82qoVGcznzeSBG2Zwb4YrmGOO/CkjyOM+hJEkN4YFIjUzeZWtDxVc3x9E7ZkJnsvGUggcvHa+QX86tKKXn82SXSobkM+AM0k0REctFWnWGkHxjJK80vcpCaIjNiUar22tuuYlrMkkIYFTGS+nSZ+TsJEHvr6z+Jt/3nn2Nv/OFkYix8niicvvRfB3QCfiAPGUxBxRu23kmMJbBApW21BPifrdrZ0c+UslesyqRw8im2BSAnrysirmt+EU5tBYM2gGglHW7KVpbiHGSfQNZuiuI+QR4JFqEE1rz2pG6Arb95dDqnUK+PCuyrCC8DlvT7OD0MtZ7WSRMeP1+Xg20w4XAksLhxAMiPx4ZggMuLD5ToMfx7KsuplQnxdKmdNNjBoOUs3HBLvO4PNYSKdQYx/+PK9Y2//42ThBjERAIjgTF6EUvZEjzYwOiuZmImUKJEChtBiIipv5Fj2Xd8CkRKmQKQeNIDqtC59oqzOE7QjASKrPELLrepkoCgeIEpieHQmkudXIeG4j/NSx3dThv524oEGDbxmD/BbN2n5qxWnTKQuwauRJHDkAOp4VeDXvpAea2w5a7TbhTHgH+Nn4P//H7dkAOjQcg93HVq11ie1sybNE5H/lZwVyiRMm20cXaNMZDzH+rA2AFuWNQXok/pEACCGCz4pE9kEOSsDIqXrvpHuluuY8IlYTESCyrG8J7dApISp1ri1YCoXRBoJRzvqgnOONk/Q9BupFh/3EfPYjKXOq3hKmjzNBWnETUs2reoRJoLqNFCbQ1c6rps80aHCdXncplfXJT8cxoQDX+13bDlrvIfLDqtd60e4/M+/gKe84yvm7snsKdORcETbEcVoxQl8Ca5q4FrtmQ/dMslloQDTC2Pjs2E22ABZ5kSzW+5fwPP/4UYMhpWJGdMUoG8EiERwSzORbz+wiL0LnewHjIk8EWycnGVPR0rLWeq+LxEs4AFZn4iUs45lJvsWiJSwnoy8qgUtoDqTAyIJOnEfnaiDhAEtv6lb1UZxHxEvx0SuPXAIn957APDreO6K8LEEMhmxx0MTiII6VuXNPqUc6wAa8rjNoKUjnPQN3Nwp2ES9ZKlx20ZkB0q2sEuNfOSbe/J3XxSdNYY9s93FZ/Yd0D1WlP7eHpggQgdJKmddfc1NeMSbri91LKXxA0CyAQPjiWDf27eMb92/iKXOYP2VR7Qw2kg5ywUvOeF47rtuxM++/UvZD5gLhwOR8olsAhNxyoKIaoRWohW0B4YoMZ+tiIt7+Fjmj2yBSAlT4bu1yhRQnULV6sXVAEM7GeiKug2/QeQsCSL0psrL9nYDPLI/wBlRBPg1vH5+Ad+5bw98CSJdWxLz61iTINJKKBMRN1+zOqv9Cg4Fkfq2kcAgpLPsEeUsNUD3rNwMlcm+s2VGeNHorDKtRIeZB4aZJNEzulAOWO1+ZFB9+v0oE/nuHlU80/ytl7shVnvmLI8C0cImDLrHw9R3CjcBFDeCgeh9cQd8Uv3fUT4RcV4bEp1lvffKgsjOhwLPfW+pzP88JqLAI0oivPHGN+I9t72n3HEnsC0QKWHdgWAFtcpMvk+EuWgnA6ypsuxBC76bVtmMeLL+TUR7lvs1OEELPgBfgkMPkbkPx0UoH57pJO2R/ujKDrxgZRXn1HZqv4LWY3deCOz4idG+O2URIz5caoZuy1n9OF/OMOWsSZ2lZo92BQZhzA35aRAlqAcuAtfB2iA7ezu0YpZ+ecSbrsdPvvnzxjIKIgeXzPV/VJmJBpHNkLM2UP77RPJYDB72gsl2IsueRFLO2ojIpgwTKesTYQy4+HmlKjl7zEFoTWiVTyRMQtx88Gbcs3RPueNOYFsgUsK6oQCHai0fRBrMRyeJsNYV5VCaQTOtshkPEPEYvn2pH/864PkfSN+7Xjrw+XXg178EPPNvdZhulyeZGjWvbsd40fIKHtfpasf6zsoMXje/CL+xQ8/mNRN56tuBF35spO/eo9FMI8pZaiDqWnJWGHH533wAHCNPZPzCgvceWQPXICKuQRRT9mEyEd910Ki4BhNpBOJc9i9me1jbPhA6KB5cTtdf6YU4508+gw9+4/6xv8vxskEsB6MRBvyyzlz6W0xq/xJfge4lLxt7e8453vzpO+FyIN5AJjJ2iO8Itp5PpBf3UHU3vzDmFoiUsK7sUlirzOaDiOOhjRhrsgx8szJDqmwOBBOxpaDH/QHwsJ83l6lZRW0G2H4ecOmLtW+lC55hM9u9Ov5oYQk+rR8kM+BR36blLM1EXL9U4UQ6ezaZyGgPghps7QQ/NTDZg7GRJzImE7n3yBqe+NdfRqS+grwuVJaJySA2iBMEnoNGxTOis06eFtdp/1IWRGyjuSeLRM5alDkor//E7aN/keNsagIwStDA2X/8GbzmX7+fWZ4kvFBCLGPLnRD/csvews+jgjbQZWy1H+H9N+2VjnVxjhviWLcelc0AER+OZk/6uBJUoiRCL+qhVsK3MqltgUgJ64YdMM5Rrc0CXhVVbt4QdSdAAuBo+wAAoFmdgUfkrDAPRIbZyQ/XL30ZbdVjgGf/XKpoI807UQ8rARFnxJ855kUgMh4TseWsUEtLduJfeix3zBLnyhGsd23JWUAaHSTOkSNwHTQrnuFYP2lKgkgOE7GNyllhAeNZaBf7Sp7xt1/D//n6feseJ89uuOsw9sznRBxNaFrOKskaOlIK/Mi3zMFesbFrvrpbLxvVz/InH78Nf/Cx7+O/9ue3gp2E2QyiBAmY8Ino6KyNYCKmlQ7xHcE85uhgAGUqKitMwi0QOZGsG3VQ5RwsaACMoWLNkhsSMB5cUyAyZ+aJYEQQOeUR+qVP6Khn34iqaCMNGVa93oNGykRGnAXRqJnuBHJWUXSWmt0m3DzW738snbGX8Ynccv+CkSwIAIErzlHLCfK608EwymEiFd81GIWq+7WvAEQoANLZOgUrOkPefWSt8Hvctn8Zb/zUaLXBlL3qo7fifWMC0DAbFAB9ke3JC50FcHhF/D4f+WYKLkWZ6kudAX7j2lvwwLxZmFGxu6WC0vFloryKpDbx/WSIr1xlc+SsjR9qPbAMiCg5qxf1EPEI1TLN5ia0LRApYd1ItKxVg3bF0utnJNo/sCp6ibRq21ImkoSIOB8NRKpT+qVHboKMX0VJVzRkOJSOXb8GT0YmjZqBGxfIWe/84mgZ2UXRWbZPQh+XPHhlmMjz/uEbePbf32geU2r5f+2+TAQbyN+MDuj0dRgl8F2GwGWGj0ZdgwdX83tYU9kqNICDfLfIBKvNsM4g3pQeKf0RHev3HxUgonxJyhKuJCLS7plcCzq4335gBdfd/iCu+KsbjOWqtbHtW1NWJtqL3tORFVgBiIFQy1kbkLGekbM2iYmEVkkjJWetKj/ulk/kxLBe3EONQ2ddV6wB7gJfMIFvLd4Jxjnqte26dlaUhIjA4ZYtfLDzYcZbnxQ6LGQiVM6S5VfgVXUZ9FFvYPpQ9okU9bc3jDbjHWgmYlFuQ/5JXyegPpHhIKL8NvYMWA1+H40eB7zuQR3iG63DRDzHMYFGrlOUbEdnxXQdeu3sKLA8myRXgnOOQZQM7xs/po0a4qvYw1zT/N3UdaQFnekkop9z7TgHjqymDLO2DojEJXwi9Hehvi91/zHOCIhMzkRs6bl0nsgox8iRs2IZSbq2ICZ8W0zkBLFuPECN+EEqbgUumSmdWZlDjXMcGiyhmXCwagu+dqxHWEGiS7oPtT85CPz6DcYi36Nyls1EcuSsn/ldoHkycM4VcNwxfSIFTMSm6LbZkoGOzhrkO9YBc0BPOInO8obniRTN7NUx7TpYhWwhThC4DnzPwYACjRyY6OBPvx/1cRggUiBtFYFIGbmoF8baSU9NXYPNyCofNcT3/gK/jGJJNMSVXhcqddIADDrxqEl2080JwQbKMRG6zmqfTgAkcABQe2cbUHfqDfXz8ctdjvNnzwcA7GIb38bYYw4ii4moaK2Vflo0drNtC0RK2N6ojW3kUj2ushNXr6R1n9xKCxfKgbLJEyBowpM/Xj8eYAUcc2VuoqCeiQ83QCTjWJdyFmUip14K/P5dQH1Olw4ZlYkU+URidXzSylfZ+79+Hy74X5/FYSL/6OisKN8nAthyFq2dNfx6FYFI0aycDiKUcfQjEeIbuMwY3NQ1oMeh+6aZ3Ob3yXesF4JeCRC5+pqbcMmbP5fdVju/19/HWj/CWa/5ND75vQPrrkvPq6xPZN+iAJE1q6yMAgPXkLN45nN6TPu1YiJ2yRplZRzr9LelEwx1HJEnImwjmMgOt4pXrw1w9+LdAICfcvLbak9iHnMzIBLKic5qLJjcFhM5jnbnwp145r8/E9fffz3uStq4PElnxpfXT8MfLSylK/t1XNoTDliXc6DSBPMCuJxjPmqDM2BmTG3SIzOJTN9xFa6bV4sLadb3RvlEAIbXhy/JsKWF9gBv+tQPMIgSoy97WCRnFQwWhpy1jk8kLGAIRbPyqID9hETOymMrdH/0XBfaRXJWfhRY0WBcZqavsudtpqdArQwTUVFm7/zCD9ddl+6zrC9HDfCrPbMigPKHGSBCrkvXYCL5zC3wxP1bVMtsVCZCgS4kIKLEhvWel5t3z+Mvr1un7L/jii6i0h65GSACE0SiJEIkv8OaDLCp/uBTG35c27ZApMCqbhX3Ld+Hj90tkvMe65GBevYsYIo0SQrq+I3FJbx25lK8bn5RFDp0RPvKI5HUiknnwlHMN0DE+rnUw5pXWh7pQOyOCCJ0ILQjqz4YPwXYcb6xjLIPOltPQ3yHOdZJ/ga5HT0LRH5wYMUYRAZFM0tyfMqAwphrXd7wW0SpnGWcSx4TIYMcdawX+UTCnGthW9kQWgBY6ebX/bIH+q/cfSRTaFB/d2vdhfYAr/jwd4wkSbrvsuenfuMo4cY9oJJVTTmLZ7azv0eYwwpXCkDE9on8/Q334H/9+38Zy+gxV3PuF9r901lHznrBu2/C331pnSATOeF76lobu5K0MOpGmueYclY/Jm0N5LhTW938NrlbIFJgO+uiXPrNB29GM0lwwVlPSj989CuBl38tfe83UOUcv8Cm8NgQwpnrOPAAHJY/5mx1vKKHqgotkMNEZN91VKaQZ0oSGpWJ0GdS9d8Y1kDIGLhDOhCIGzxKuJmnUeA3SOCCSWC0mcjT3vlV/NJ7b8495oMr6cNDB6JFwhaiJNFRPnFiDu6B58B3WC4TocsoKBXJWYYDP1mfIY3iz5hvm+HMqd/CHOhf/L5vZgoN9gtA4TsPLOLTtx3E8971DXPfI8pZtE/LCqktlstEyD67BT6RPGmLtjJOjGgr8zu9/bN34dqbHjAYEZ0YUSaSylnp+ZXNExla0kbu4+1H5nHd4dWR686VMZ+5oNOKbkSqJcjXNX+8yesotgUiBVb362gFLSRIcHoYwTn/KemHXqAr4U7HcRpqu3oICFLa6nHgsOwzMlPbPtZ5GD4R++aO5UBW0KpWDcSjOtZNn4F4sIfJGkUDbZEUVLQ8ITEsHqklpoDm+/vSZDN6zMOkvpVRDJE4o6OYa209r+yJ7zq54GYym/zXRaBoynb5A84oob/zlnNdnUO/YB+3keulZvz28dRZ7V/qYjkn4qxs98FuGOvrSwdpJWUWRWcVMpEo+5oyUSqJFUW43Xc0zTehQJPHXKnXkA0BkaLzzRid8HUXJ2+clWOeBSK9KH0OtJwVbLyMZtsxARHG2OmMsS8xxu5gjN3OGPsduXyOMfY5xtgP5f9ZuZwxxt7JGLuHMfZ9xtilZF8vkev/kDH2ks0875PqJwEATo05sOuSzOfX7d2PT+87KHqAA8ADN6aAAlHbZp6LB3+ucdJY5+B5dd18KstE5KBSUPFW+URGlbOSHB9DPyx+YAZkJty3AKIi9WwbOOpBdkCPCdxRJtLLma3T4xwm4aAUxAw5izARI8RXMRGP5bKIMM5nE3mvK55jhMQWbUttlBIgdmKllrMKosO+u3dRv1aDuQ0K9BqZUUtKKispZw1i7JwSwL9qgMjw6Kw8+RMwgVFdIypnhQWMDwB8Vxzre/uWctfJ84nQJ2SYY/2ew2nS6LBnIpOYuwk9zz3HK5azYgEo1ZwgmI22Y8VEIgCv5pxfCOByAK9gjD0UwGsAfIFzfh6AL8j3APBUAOfJv18H8C5AgA6ANwB4FICfBvAGBTybYUrSOtWp5raG3RXFooLuaT8tGMhgzUwUJOvONE8Z6xyYV0FTzrr8opu7IAJDzeZHlbOMPJGChEFqdCBUg4bKYWhWxFUYWDP3RiVbjiQuYCJ27S2xj4LZbIF/Ioo5qr4jl5sMQTnW6cwyznGsFzER9boeuMVMZAIQUY7lLBPJFkmkgNszQmaVLGk558P89VP5qzwTUaX96UxfyVVUzjLzkLLHBOxcIrG+wUQKghkA4PQ5IeF8b+9y7jpFbFkZ7WtjmwEiw5I8bdCotPLXm8A85iJiTMt2FERUzks12Pjj2nZMQIRzfpBz/h35ehXAHQBOBfAsAKqU7QcAqIqEzwLwQS7sJgAzjLFTADwFwOc45wuc80UAnwNw1Wadt2YifgElfPnXgd+7Q8hbM2eIZY+4Wn+sbsVWnMAft5ug62sQyZQCueptwGUvAx7y5NxNHc1ERpsF0YFGDTLDmUh2QFUDRbPqGcsBoeErJqIGbs45Eu6AyUOvx0QGBYPlYMhAlM9EYgSug8BbPzrLHPCyCWv1wMvkoOS9plZmkFYy0fyaCSJ5TISGZBsAUSBLGk7wnHDbMtFjgyhBlHDsbInJDO23ovZJo8yLwqYL5U/tE8kPrLCBUb2nzMVmn8posqGyYXIWbWo2NMnTfuZa400ih5kaD4Y1oqoV+Es39Dw2/QiWMcbOAnAJgJsBnMQ5PwgIoGGMqebfpwKgldz2yWVFyzfFNBOpFDjFT74off20vwLu+gzwqN/Ui3w5r55NYqA2JmFyA7QSJWdZP9fUKcDT/6Z40zGZiCFn6VyPkj4Rpb3L9RtBDojECWYbsvd5nMpGQs7iABhcbz0mUsAK6MBt5YaowTiyJCfBREw5i0Zncc7BGCuM1BrI0im+y1BUcn7UvJa872rLWeq7FgEqZY8KXGzQomDYzQHjMiCnttvRyspZ6rcza5flX8ciP5N6bTjEc0rU2N+pnzMpsJfn+USGyVmhMWEagYk0x5Ozh5kGkSSC7/gI42xCauW/G4gwxpoA/hXAqzjnK6w4CS7vAz5kuX2cX4eQwXDGGWeMd7IAdjV3AQDOqO1cZ00AZz1W/BFTpdunkqQwDHddcwM0VMTSiLqqkoRGD/GlcpYs6FZQcgLIn1mqB18xEXuWqWosRRqkYtOxTkAkL2GtSGYqzh4nTCQxz8V3mSx7wjVgmLIUR+AxPeAFrpM5pu868FyzdIq6Br7LSoX4qmNT45zrQTojZ4XZgb5XkHeh2Jztg+4XsJhRfCI9C0Ty5CzzdxFBDt3QrPtVyEpyQpmLKhDQ/dDvX1Q9QH0/A0SGPGcD41ofZybCUhABgGiwanweJBzufxfHOgAwxnwIAPkw5/zf5OIHpUwF+V8FNe8DcDrZ/DQAB4YsN4xz/m7O+WWc88t27BhTRgLw1LOuwjsPz+OsqTPH2l4xkWaSjM9EHAc1mYQ3arc/JWexkUN8c+SsguQ+wJ4Jm7PjKQUi1gBQlz6RkDAd6hNxSXJmWjoDZNlwLV/s25SW0hBfrv/HCUfgutrvoLaJc2Qpte9W1ctIIorN5M2464FXyETytH9qvTDR6UCLVuvdvLIn3YJrkcfm7G3zIo/KRGcp8Jmp+/qc7X3aCaZ5Mmc/itNAjJwinWHM9b2Zl9Oj96PuwSImkgNQZeWsoslLxux9tDaBibgmiIQ9s1R+jSdGoM9m2bGKzmIA3gvgDs451V8+CUBFWL0EwCfI8hfLKK3LASxL2es6AFcyxmalQ/1KuWxTrBb18fh2G2iMF57raRCBEfo7qlUlGGTkrPWOr5nIiD6RnCKCdMZoz/zMgnqm9t7Idaxz1H3lE5FOQQkiDgDGuQZAgOrq+bkGhUwkMQeRmhURppmCx+BJhNIDVsIzkWXqu03VfNM5G4uERc9lxoCmvls9cEs51vPkkQ7R4GnhQOO8CmbHeY51+3WenKXA1T4/QLAMu1GXyhGZrQeZfdqTCkAwkZa8L2x/VkuCS5jDFsTrnP0lJpvT9yC9Z9fziZTMEylKZs2YPXFrnly87pjmM9W1U/YQkfWyKvK+r5LK45tpx4qJPBbALwF4AmPsVvn3NABvA/BkxtgPATxZvgeAzwDYDeAeANcA+C0A4JwvAHgzgG/Jvz+VyzbH2qJTIeqTgUjD8UfuCkitKsHDd0cDEder4KQoKg4MKDA1gLhOKuH0wuyDl/feLsVhg4gaoOoVOaCT9RMIx7oLGGHLeUykjGNdDRyci2NWJSioZEM1IAUyT4R+lzjJOv8HhInY0Vm+m1M6RUplFc8pTjYsAENlNInPLmRJo7MUOyxiInQ5lZvyorPy5B5lV7/7Jjz2bV80lql9q1716zERlfjpsGyUm47mK8gZyWUZFuNQmFI0ocgHkdSGRWf11/m9Cm3MiegwU0zktsO3AgCiUCYYynuhlvC0SOsm2jHxiXDOv4Z8fwYAPDFnfQ7gFQX7eh+A923c2Q0xBSLjMhEmuhQ03fxkwLJWdQMAITw2vLKtbY4b4PN7DwAPuWCk7RSI1H03dVJaYZF1klCuHsTAc/R66exUnLPds1s53NXD3Y9iKWdxeBxGcpb2ieQwEXsgEufmojOIDRkEQIaJqMEk8FIZLYy5Bp164GGxExImoiQ635iNDyKRD5N1rCfwnGwiI7X15BF1HSueY0QG0W05F4On7zIDaEz2ke57tRdhe7OSOWYea7DP+zbZXbA7iPX1VMep+S4q5B4A8n0ig5hLcHUzv10zh4kYk5Q4BuAX+kTsPCW9znr5PkbZk2GO9azUm2uRGQSxGXkiTILd73zl1fj+Wd9HKEN8a5xjSf7PK5a60baVsT7M2kfE/zFBRDm0GxOWY646skviqGzG9YCf/wfgEb8w0mYKRGpB+pD3c8I/laWDq6fXU+GY2xri3O1oH8VEtJwVpnKWCwBOHhMhjvVYsQI/o6vXNUCpsiuS3ls+kbCAidDvT4+lzqPYJ2I71sVgGQxhIoYUmOO3UHLW9mYlh4lkB0MtuVlsiQIKDcHtRzGma+JaqwG/H2fDl207RKoEqPOqBx4qvmsAVsocTF+R7zqo+E4mbLrue3BYsRM9L5ggTvKvYR4TcR0zyi637MmQydogNs+30Ej2+GYN5GdVt+nXg2SAUB6zJq/HXBwfEyayBSLD7MB3RJTF9Onrr5tj6lFtjll8UVlVRip1M52bS9gjr05zWArszkMrupQ3kA6+jYqXmYUD2QQtHYlV8XQUkArz3NYMjO3t0N+Q7D9RIMK5MXNT2zo50VnNipdxCDeUVGYxkapvLqdMhIKI+v5pVr0JpFNVP8PMAk/4ROw8EV/moBQ61teJ9lED9PZmYEhb9PzpflInd1DIRGjSXj9KUhAZZFlDIYiQas0KfGqBg6oFDL0C/4QnZT4jNyVKUPHFb2GX1w9c5XDPsqUyjcDob5qbbEiYSFnH+tC6Z4qJXPlW4DV7itebwC5pnoHXzAs1vxt2tW+kJhtVzSTJFhM5rpbEwPc+CjzkibpO1qjWl2NeY0SfhG01GanU4/n9FCa13/mnW/GX192l3+uZOOk7TgckO4pIyDYMVd/VA4gCEVs2CWNzgLblLEBqrIR1qH0aPhHNRLwMwGmAUgUgY8VEVMa65ViXTnG1jfr+CnRoiKnDBIuymZnwiWTlLNGrxMmVqui+1TWwTQHHtmYF3TA2IufyBjQ1oM/U/UImskhqZPVDkT8TeA4Z8M0BPM8ezGEiVS1n5flEyHVJJBPxrAFdBijYzM2I5splIlmm4rvM7Jooj98IsixSWHnHuso3GuoTkaxg4FR1d80NN8fTrKMbdRHGJhOZ3WIix9nu/xqwesDIQB/V1GPWnDDhpyIjLGiBtY20hc7AaPca58zahjMRLuWJFHRUtrACkYycZQ30/TBBAgaHA25BLkNenshU1c9IGE2rpEpEQJF+P7XfwHP0TDePiVA2FniOAEs6EEVcRmfZjnUx47az4amt61gPUyYC2I7zrBNdzeyna34mIuuUaTEZoV0S+1GMiu+g5ru6bHuRlETNkLOIT6Tqu8ZxtU/E2qfvStZiOc0rvvgt7GTDRsUKciionZWGYfv5TKTi5rMJwycyTM7KD0/OmHxWX/PJcv1bxjLX1070btRFJNmPktHn4qSwJNJG2haIFNlZPwu8+BPABU8bexd9eWc2K2MmGkqregpEuuusOZ6t9SIjlDTm6oFLZ/l0wHrv13ajbVVCVVFIaj1bzrITxuwBWixnwrFunZ8alOwQX89hqAauURalHyXa32IzDlvOUgCmAAAQA39kn6OWs2JUPBGBNIgTzQq6YSxlGJaRVgLJRMqF+ObJWeo6CjDu5CQE0v2oQXuqZg6ivSjGzikJIh0KIiIooOo76zrW6T2QJ2fVAy/DRLoD8ZOnZ6gAACAASURBVJqGDUcxh+fkONYLmEgYJWhWxMCuM+BzWAY9R9tvpX7TRmAyV3UPUJ8Iy6mTp88x4joMuYxPZAA/k1e1Yeb4JhNJxMStJ5nPDJssKrT0aWz6EX5UzXGAc65IuweOYQpEGrXx5DBlj54WVYJ/LiiROT+ixYnIiKaDk5IH6oaclT54/3zLPvzFZ9POboM4QeCpWajyiYSo+W5mIFaDUkUn55kgpR3rxNQ50GdR+SEqnpNhIrYvo6cHOReMZYsrBjKySp1nKueZ4clqwK34pj5/dK2P7c0KXMcxnLyUiZQCkRzHusoN2SbLxBhZ5TkO4l4Yo6qYheUTaVU8TNd8i4kkqHiuziCn3xcwo5FoqXgDREgEGWUinHOj3lVI7gEhZ5mRXP0w0f4pu3FZs2IHOeT7RGhCaF7Zk1rg5rI/mmw4LMR3ECc6x2V4dJa4xn34wxnLJDZ9qvZ/CDlLMJGeBMG5EaM5x7UtENlE00xkzF4iyk6fOhO33bcHP+WZWe/f2bM4vDFOCVM5AxREIuK3GESJkcClzK6oGmgmIuWsXoipmpc6RJWcJQcl5YdQD3f6QDK4VjR42jXPlCGEJGLOZvtRgqonchDU99i7IBjcabM1+E46QKlzUn4LoMixLt63ZVhrxUs18SThOLrWx45WJdPYqqhXycHlLl76/m/i9gPLxmB556FVvOPzdxsz16VuCMaAk6UUZRQAzGkn25N9PbKMQIDLXCPAQseMzlISnQIRVVp/pu6bTb7IdrSbZVcCl+OY90A3jDGIklTSJAzQdxkqvuVYjwWgUdDlnAsJyRq41/pUfs36RFoVX9+7AGUipj8rT64b7hOJ9TkOBYedPwEAOMC3Dy0ZNJHtuhRV+ax0o9Sx3pNy1syEqQVlbQtENtH6Mpqq0ZiQQVz8P0U3xSteoxfdvHsez/n7G/GPX9k90a7bGkRI1zgtZ6WzP/uBUdFMgBwsPScjZ7WqPjzXESGblpzlyxmnHf2lkw2Jaae8lWuQy0Rioat7rqMbF90/L5oTnTHXkFnl6lzEdiKyKpWzMiG+8rgL7T7mGoHOZO9HMZa6IcKYY2erIkDRcCBzeDnyzPf3LeNLdx3Bz73za0bi39987m684/M/xL7FVLZc6gwwXfP1IErB3k58W+mFIn9D+iYMB3cUo+K7mKlbTCRMMgziG/fOoxG4ePhpM8Ygq7o5ztR9w4e22gv1+dH9qHVUiXj1+0VxAs91ULUc6/0w1kyEAg5AklZjxXQjMCakyLxabzrznXTXBIREmx/BReWsIT4RyoCHyVmPfy2e3X8TbudnbR4TCeqozT0EgJKzBvA4x5r8KrPe5kdmAVsgsqnWkyDSnLTkgRcAT3mrESV2UMoJdxxcmWjXmomQkhrpTDx1INrUnYKIik6q+i72zHdwz+FVCSJiexriSnMzqAPVkLN4PhOxmzwFOc5ZtdwnkVIPzHfQCFxsbwZwSX2rBdk+d7buazmLMhHliFdgM782wDYKImGCI3LWvqNVyRZglAzNDvGlVW4PLnXRqnqYa6TZm7tJR76F9gBz9UD/FkWl3v/yurvw8Ddej8OrfR0lZRdjrHou5uqB0fFRSXRU/rrx3qP46bPnUPddfQ2XOgP82gdvAQCcvb1h+FX2LHRw2qzw21V9V0d5aRCZMpmIul9EnojNREzQVfeH7YdY7UVoVjz4LkMcZ+WsqZqv9wmQsHWrBI0GSXLPuUNq1A1iCiJDwMH18V1+HoDhxUsntdrJjwAAdKMOojiCzzlWZT+FuekzNu241LZA5BhYYxPKQKuciXhCp50a0DphrKl/bA2i/TBBNzTDiwOXRkqJ6KSKJ2aFT/qbr2C1F6JV9eW62UEh8Bh819GDFJU1bDmrT1iMOsdQP8ym9p/mbKQA9cB8G2dsa4AxcUz1/VSY6klTVSvZUGynM9wjBToDzDUCXaxxECda1tnZqgrgssrPK6mMDlw02e/IWh/Niod//c3H4KqHicnG7iNp46PFzgCzjUBLa1TOosD0zftEvsB9R9uoSiZCe9sryWm2EViOdSHPVH0H3TDGgys93Hukjcecux0+iSq7afe87nF+9rYGlruhllLvP9rBWdsEiAhmKLZRzGVHUzERcT4L7QG2NwPDsZ4kHKosf+Ayw38CpHlF6jqu9EJMVX241jW3mYhiqUYxTMuZD1iO9aGl4Em2Pblndx9Zw8e/uy93m6HVfie0Wkt0wuj2VxEmITwOPMadBgC0to1WqWJc2wKRTbSrKqL8sz+pnJVjqgTIpJEfSs6KE64faDXIqrDKfhRj95E2ztyWxpxnQjY9x8goX+yEuoJvQGQLOzdDvVezVoasnEVBgjaLUsClNfhBjG4YY6YeGM7ZBxbSQU4MOmL9B1d6mK75qPouARGeyWXpS/Ba7Aww16ikPhHCRHa2hGPdKK8REzmrgIkcWe0j8Bycvb2Bd73oUrQqntEbfLEdYrbu63Mxy7XHermyPQsdVH2HSG4JojjBUkewqLlGgIPLPbz82m/j1r1Lgon4DmqBCIr4xr3zAIBHn7sNPsnufmBeJKO++NFn4qG7ppBwMZD3oxgHlrs4c5uQTgw5q2szkRgPrvaRcOCU6ZohCanjVDzXkDnVcjusVjFdm/2l9c3ymUjdcqzbAQ+M8+HJhjKIxJaznvOuG/G7H/1ebtXjzWQi9brwk3Z7iwiTED443h7P4j/37oe7/bxNOy61LRDZRPuz2Z/CjffvBarTG75vNV7bZbBHNaP3gxygUp9AqsPvPtLGRadOk+2s2b/LDGltz0JHP8h0oE+TwRwdKguks1bGQQrCC8trViSAixkzbpV1f9psTdaxEpFWexc6OEOCCJW5Hlzp4SQ5wFE5y2ZiYZRgpRchjLmQs/zUJ3KYyFm+aznWlZw1hIkcXu1rAGOM4ZwdDew+QkCkM8AskbPsgoxT1ax+36z6Opy5HyU4siYG7pOmqzqA4LO3H8KvfuBbWOqE2ifSHcS48d6jmK75eOgpU0ZAwAMLHczWffzpsy7S1XoXOyH2LnTBOXDWdsJE5HdVjEd1PBxEHAdlzbFTZqpGNB+N8KJ5NQrQ7TbLgul68ByzcrKOzrLWj2IOhwmQiglDs5MNHWBonSs1ebEd62oStCC/M53cbSaIVGXpk25/GVESweNAbeUATotiYNu5m3ZcalsgsonmX/QctB7/2k0pvjawWMO4RkFESSW0ACMgooYGcYKLCYjQPBEVhXTuDjMzXzERWsV2VW7Xqnrw3eyAI5hIvk8ESKUllVNAZ9zKIX3abF1Hfh1c7iKMOc6SM2WXRIQ9uNLHSTJ3Ir/sSerMVX4E6lg/vNrHh29+AI3ARaPiZcqeRElagDHh6XWlTIRz07909vaGlrM451pCU9IaDYBY7oZ6lk/tnO0NfY69MNbhuCdPVfGMR+zCCy47HR/+1UfhqGy3W/FctCoeFjsDfOXuo7j8nDk4DkPVd9DuC5lzz3wHZ8je5bMNAVxHVvt406duBwDNRFTCKec841gfxAkOyHPZZTGRQ5a0aAdTtHKZiJ+pEqCjs6xmaJEMcrDDswexzECXPhEG6BnaJ27dj7Ne82k9wVHHDzyRWEsnBqoagmKmRv2wzXKsA3Cq06gkCbr9FYT8/7V35uFxVefB/53ZRzOSRpslWZJlyyve8W7MDgFDIZitJASSkBCSfElD+kFCkjYpJRv5UpqlyRdoSiCBBkhC2lCWBAJmK3jBgBds5FXeZEuy9n1mNLd/nHvu3CuNRotljdyc3/PokTRzNfPqzr3nPe8elzOMWk23WsGMU/a+DhnG5V3+UilbCud+6ZS8tFpYT1KHOEaOqt1gvJ87a/uRFgDmTx5cifg8Lu7+4Dwe+vhy6/Hpk6RSsQdKVSV7TtBLWV6QQ6abpLkrRmHYj0CktUTsdQLeAUpEvlaFlcqbsNwwlfnKEknucuvaeqxdst2dZdXJ+JKWiKVETF8+wKMbDnK4qZsV02TCg8esE0nGbQy85s5aypgMCpdFkk057fGlWSXZ1Lb2yEyrWB+98QSRrGRMxG6JNHfFrAXazszisMMSUbGfktwAs0uy+d51C1kzo5DFFbII1u9xccWiyXRF+zje1sP1SyvM18mmozfOkeZuDjbJuBLIvlwAT2+r5bU9stO12kAEvMnPo7Vb1gpZnXn7Eg5LRFkthmFQaz4+ORLoZ4kkYxnqddU5zA54cLv7WyIqJuJ1HB83i1P7p5y3dcfJy/JaMRH7gvjNp3cBzur8qDk4q787S1lKSok458wPzxJJJAxueOBNXnq/bljHAxDIIWgYdEc75JhcgGt/DuUrIDT6gXwjQSuR0xR1YY6tJZLanbW+ugGf28UZpdm2Y+0BXtn2JOhzc9aMZGfRc2fKi9geE2gzUzPDPg+zirPZ19BBNC599oVhHwLw2C5Lw5B1GAr74qLqG9T5ONLcjc/jojCcTLdVSmSKLSbSl5AT8urbeynJlYuw6p11vK2HLz7xriW3EE5LxJ6dpRaMX5iKUw22slfKe12CmaYyve/53bR2xWjriVGU7bdex26JnFEiW+RUH2+36jLyQ17L/ddl+4zaemJMLwpTVRSiqiiZzjmrONt67Y6eOHvrpWVTkuMsnF09XX5WHb1xlk/N56zpBaycls9FZ8gYnrI8H998iNqWHksRK3fWWzXNALz25QusJo72eFFzZ5RIltdKz33vaCvHWnsI+z3kBLz4vW4MQypbpUTKIkGHm9Oa+eJRLiSliJU7q3+Kb7K/mf3v4wlZJW8lRcQTdPTGae2OmVaUqURsbih13TnrSoyU2Vmh/krEdl/1DNMS6YzG2XigibcPtgzreAD8phKJdRIz+uQMozOuhFtfGJdqdRjnGeunO8dau7nkn1/liU+vZu7kk+uHdbJYWS1jFFiHpKvE3jsLYG99Bx9dXWntKOXfOQO8aoenFhFIFsjZYwJt3TGy/R5cLsGckmziCYP9Jzpo6Y6xID+L5j5ny/edx9o43NTNsso83jrY7OioWxBy2eIT0p1VHgnicgmrLfvBxk58bheluXLn7zED7ic6e+lLGAPcWT9+MdnryOMSBDxuWrtj7DDnaOSHfJbF1tgZJSfgsdqx2GtNvO6km++iMyaxqiqfB18/wN76DmsXnZfl43hbj7WwAcwxFfX7x9qsmIxatPNCXsuqaO+JYRjS/fPSHecDMPUrzwAwoyhsWZhf/8MO3j3cYslu55wZhfzs5X1W4ejDt6wAku1llCw/Xb+PLJ+bNTMKTXm81mcTyfJSkZ9MuFCWSI9ZQ5Mb9LKoPMLZMwr59rO7iPUZllK119scbenB55YbAJ/bZbkt7a1p/OZ1ZBiG5c6yJ0qA3Ez4PPJYdZ2A6Vp0263CBC3dUnFNLQxRf1j+z+rqtbuquvp1CfCZ6exKYUDSUmroUJaITYkM0xJR72Pf2A1JIIdgwqA71kUsEbdGco8n2hIZAQcbu2jvjVNdd3K1GWOB8rmerCVi3zE1dUZ58PUDPPxGjRmElJdHwOvi8xfOsBQFOC90VYGs+PbV87n/piXW7w53Vk/MyuGfXSIXqV3H2mjtlu4snwEB22X59LZjeFyCDy6ebL6XfJ369h5zN5/MIDvS3EVZnlQWXrcgaloi5flBq3mjDMQmONaSjBMAjv9N4XELVlXl86s3D/KjF/cQ8MpFTr3nCTM9V2EF5xPJYK7HLRBC8PAtK1hUEWHTgSaau6LkBLzW7r3I5pIqyQmQG/Sy81g775iLv3p+YXnEUggq3qDmmgOcM9Nc5EM+q2eZOh6cvcdAWiL3XrOAOy+dbX1OdoUmM6Xk36y/83zLcskJeK2OylWFzoI2uyXSYiYFuF2Cn9x4JusWl1FVGOKaJeXyWMuKTFDb0k1pJIDLJfB6kllhyi2U5XPLupJ4gp6YjFupwLo9JlLbKl2U9tjHi7vqeHTDIbNfV1KJHDVjaNMKs1CWiN98qT317dZr2jdXfQlpdYf9HodyUS7MVO6swebb90dt6DpHokT8OQSNBC+0VfNKXwvecbI+7GhLZASoD7e5MzbEkaceZdYPd5dT39bDe8fauGC2M93YHhN5cssR1lc3WL8rE/2WNdOs2MHrd13A/a/s4z/ePmodp1xLio+srHS8h8/jspROW3fcyiiaXhTGJeCdQy0YhuxU+8HdCSIFyfYu++o7mF4UdmT49MT6ONERpSwSJGIuxI0dUerbe5kxSSomWYOS4FB7rxUQBqzg92EVPzGf87gH3nxul4t1Z5axvrqBLJ+b5//2XAJetxUrMgwc1plyZ931u238y4fPtIrqQKa+fuqcaXz+1+9wsLGL1VUFVjLBymlJF6AQgmWVeTy2Sc6gWDEtn0XlMnaxZEoeL+yso7kzaqXP2pXIzz+6zNp5LyjLdTRVTIUQgg+tSF+Q9l9/c7bDYgNZo1SU7aeurZdphc5kCrsl0tgRtSz2SJaP71+/yHFsSNW+mHPbJ5vWYiToo61bVt+rhb4sL2hZtGqBzgl4B8y131vXwaziMD63fO3fvnWYp7cdA2T80G9zZ6nplFMLQmw0A+sB86Xsre67+s1Z8XlcZPncjsVetYxRSsR+X6UKrFcfbyeS5XWcV/U+/SdYpsWfTbMtcceTAbtAWyIjQMUM7MVamUItDv0HFQ3Grb96i1se2uzI7gG5Y1JtxrceaXU8V1UY4oGbl3L7Rcl88/K8LPJDfjqjydkWMdtimQqHO8vsqQXyZgz7PdSYcYvCsJ/JMReTjOTOvKU7RiTLi8+TTME9agVhg1as42BjF40dUQqz5f+iYiL17T1WC3SQgfV4n2FlcinLRSkAOx6X4NJ5JVx9ZhlPfvYsqypbWRCQVLQAbvMcPLfjOM9sP0Z7T9xqnAiwfGqy40B2wGOlB6+scjbo/Oa6+UzODbC4IsJ91y+yCkvPnCKVyTuHm62Modxg8vUDXje5plIRQvDbT5/F9UvLee72c3jxjvMG/H/DYU5JDvMmD0xR/+x5Mn20qF9gP2CzRFRjysFQwe/2njiHmrqYbCYbLKmMEE8YvHu4hSPN3bhdgpKcgJX5pYoeswMeWZtjdQdOsP9EB9Mnha1NjVIgIC1He6Ho0ZZuvG5hbiRMS0Qd2568x/sP6/J5XIT8Hsdir9y76jO19xlLtdG79IevsvI7LzpSwpPurBGkBLvc1Hpt1rAY/yVdWyIjoEtZIhNBifSbZT4Utab7puZElyOe09IdY3IkyImOqKMdBsiF6NJ5A1u2qI6qXbE+wma7+HRKJDfo5VhrDz2xPtq6Yw4fenbAy+EmqUQKwn6OGoWUBUqt59u6Y0zJz3Kk4Fq700iQ0lxZE7KjtpVoX8Kqjva6XbT0xjjREbWsGEgWGx5p7iI36LWsIlnNnmyJAlIRBbxufnDDYsf/4zHdGR29cac7y6aI7n1Odjm219YU5wSYXhRiX0Mn2QEvF8wuYn11wwCX0ORIkNfuutAxPwVgUXkEn8fFPf+101K8dkukPwvKcwfs/seKj501leyAl/NnOzOAlBupvSdGW098QBzGjjp3u4630dDey6IKea6WTslHCNhc08SR5i5KcwMynuF2EY33WTGcHDPF95XdDbx9qJlI0GvGXLIdlvE3rpjLPU/vBLAslKjpzirNDZrV8KYlYu6rG2zJHEpZ2IP8WWZxZl/CwO0SVst+dQ8db+tBCGmtprMGn9xyxLIG1ft09IzM0/GN9j7uyZb/lycDSkRbIiOgYyK5s0ZoiahUUHs1NMj23sqNADh2zoOhdt+dvXF+vfEQ7T1xy02QiqsWl9HaHePpbXJ3bi+Qyw54LKVQGPbxqdgdvDn7y9bzLV3SElFKJGqzRMryZKyjPC+Ltw/KTCG1M/a4hNVfzO4y8LgF7x9v5419jZTnJf9vwLI0rGNTWCcKZY3YlYjHpkjVe9uVCMBfLZAK8kRHL/ffvJSt/3DJgFgFMECBgGzDsmZ6gaVAIBl0H2+EEFy7tNyac6Ioz8vCJeBr/7EdSM6TSYWq5Xhxl0xpVanSuVleZhdns766nsPN3dbnpGIiO2ulxTyzOGy5j276t428f1zGMWbaLBHAiqcB1uN//cCbPLW11nL7qToRn7kIn+joteJBljtLVdW7XVYblq5oHMMwrOFhqrllXWsPRWG/qWyc92giYViJU9V1ydiLsng6R2KJANeLbD7oki5gb5qWLacKrURGQNcYubNqW7oHLOYjJWmJDM9/Wmgurva+TCAtkaJsP7OKpW97SWXegL/tj7qBWrtj1mLRnSY2s2ZGAVPys/jjjuO0dSfdWWAODzJvzsKwnz7cxI3kZdlqZvjY6ziONnfjEsmg+JT8LGsBUe4Tj9tlpWgW2wryPC5Be0+c/Q2dDrcUwNkznC373WmGE6VSImrRUb7+4hz/AHfPLWumsagiwjVLyvF73ANkGIqVVQWO33MCE8uZMK0wxNcuP8NSdAWhdO4spUTqiWR5mTUpmUL+kZVTeOdQC1sONlvKXblFtxxsZlK2n7JIkEOmFZswDH7wwm6Kc/zMLsl2JErYXWozJoWZZ7PEP3H2NAI+N4ayRCwlEmVyRG5S1D3W350Fck3oiSXMolFBc1eURMLgWFsPJbmBAd2UATqicWs2jn0ui4qxpMrOsqe5D8CfQ05C3n9eHROZ2HT2M1lHy1n3vsQF//TySb2GyvjoivYNa6aIOsauvBIJg5Yumcv/sbOmAjhusMFQVs1L79cDUFUU4sNpArRCCGZMCnOkWWa3OS2R5M9qwbVmjMSTvbCseR/xBHvrOyjNDVo7f3tPr8Kws40JOC0Ru7vK/ncAC8udVsNwLBF7TERZFKunF3DB7CLOmzWw2Csv5OMPn1tjFfqNlJtXVXLnJbOSMqZxI2aKs6YnlXE6S8QaY5wwmFuaY8V+AG5cWWlZJuq68JtNIrccamZpZR5CCD6xZhogXUZ76ju4+8p5BLxuq8J/bqnzes4P+XjmC+fwxG2r+Mplc1hamUfA40aYS6HfHEh1ol3Gc7K87gGBda/bZSVXdPQmp4KWRYJWT7G61h4Zx+nXTRmSBbeQtFhh8MD6zto2ln3rz/z+7dQNHgnkkBM3e8+dgu4YQzGxtjETiKbOKK/ubmD19AJrEVI7BfsshZNBdVAd3d/acuPjfVae+mCo3Y29zXh7b5yEIRfEG1dMoSjs59xZRfzwz+nnQleaPvzfvHUYgMc+tcqxUKeiJDfAq7tl5ldO0OnOAum+Uf59lW3Taqtu95qB9cbOXtZX1/PXyyqs15hZnNzBqiQBj82KsFd1q9TNL106m5tWObPIrlg4mZfer+e5HcctmQZDWVPZNkugVXWtzQ7wnavnp3RTnSwhv4fPXziTOSU57KhtHfoPMoC98DGde9Se2dbfYnO7BA99fDk/eGE31y6RnWojQR/Vx5s40dFrZQB+48q5TI4E+NYzsrr8HFNxh/0efv7RZawwkxl+9YkVjntmZVWBZdXJDYcZWFdKpKOXqqIQh31ua0yC3RLxmUqnqzdZI1Wel0VNYxdNnVGOtXazqiqfPfUdA4oN27rNxAC/x5EFppRHZ690kanrZ6/pPXhux3ErPdpBThk5NVshN0jPwGdPORNvGzNBONLcxRefeJfttowldTE1dUXHZG7yybi07Lub4fhQlQK0F0i1WrUGPoQQXDKvxKoAT0dJjmzkt7+hk6kFWUMqEIDSnIBlYdgXXrUbjQS9eF3JYr2mzihffVK6yuzurLue3E5vPMH1y5I300VzkmnLKkagUnZdAoffvq5N/v/XLCkb4EoK+tz87Kal1u/pLBGl/O2WSL2to++pUCB2Lp5bzBcvnjX0gRnAfg2lc2epCYGDHRfye/j7K+Zaadv5IZ/l1rFn3NlTuO3uxQ/MLbay1c6dVcQH5qYeySCEQJhurIArqUQKw35Cfk8y3mEbyhWyteZXFoRqZXO0pZu2njjFuYNYImbgfFZJNvXtvcl2/dHk3By7wlMpzfa0YQdlS8mOSrdetzB4bU9D6uNOEVqJDILKKmnsTJGlEU8MO6Cdjurj7UMfNAj2jI/hFCclraikK66l27wpRuiXd7sEFfnyhrHXOKSjZJCbXrmzIlleXC5hzkBPcO9zu3jRdJdFgl6m5Gfx4RUVzJwU5s5LZjmaQU629aFSLhG1O5Szz5MLuqq27t8CJBXpXEXqNe2L1vVLK6jID3LD8orB/uwvDnv8KxVKUavU7HTYM73scQ6V5u1Lk9wxFC5zKfS5vMT6EjR3xSgI+wl63VZWpn2TkIyJ2NxZZgLAzlpZjFyaG3C0xlcod9as4mz6EobVCNO+GbTf0ypuYh9J7aB8GdlmgWtrvI+bH9x00jHXkaDdWYOgdkaNtviH/UNu7oo6dqHDxR6/2FPXkebI9PTG+yiLBDna0s2Wg81MLUw/ClNVpndG+6zBTamqnodLZYFMVVV+66EotWWA2TOWlFViWRDmkKF9tnboyhL57jULB339X39qpZXGDElLpKxfBtbTXziH5s5oWkvBJWRhWjp3lnrOHnuZUpDFa1++cNC/+UviXz58Jm/ubxzSIlM77sI0FovCHl+xK5HKfHnt37V2zmhEBcAlVB8zrzXSYHpRiDf9yZiIcj1Nyg5Y9R2dvX34PU5L5PHN0s27sDxCwHt4QGBd1bnMNpNZnt5Wy63nVDmSZDp7+ygw6zhV3KSmsZNEwnDEjgAomkOOkOemyzA7OrT1MG2INWGs0JbIIAR9brJ8bpo6bErE9iGPNs23zZYDfqDxZNxZCZZNzaMkJ8Cf3pM+/D/uOEZdWw/1bT2sr663jjUMg87euOW+URZIqqpnSFYdp0MFpYerROyWiH33rpSI6gzrEoKuaB/v2fz9w1FyZ00v5LqlSReXiolU9EvbLYsEB6Td9kcpnnTrX/9mixonVy6azHeuXjDkcSr+NXJLJPlz0OfmwHcv5xNrpo5cUBOlRHwu0rGGLQAAEzhJREFUvzUlcuW0AoI+j7W4N7T3kh3wmGtDMs3dcmeZ182BE52cP7uI6UXhAZM3IWmJqEzIbz2ziwMnOh3ejY4UlojqsjxQeDfZk+YCyZHc41nLpi2RNOSHfA5LpKu3j8KwjxMd0RF/SLG+BBv3NzE5klxMG9Ol7Q1BT6yPoNfNB+YW89sthznU2MVnHn2bs2cUUtvazf6GTt7/5lpr8E/CgIr8IK1HY7R0xahr7eULj70DOKueATZ+7WJHm+tU3LC8gsKwf0CtxWDYlYidpCUiFYXHJdhd1+5w1400DRaSTRyV220k/PrWVfx5V13KgU8KZYmcbO8yjSRdZbtCKRGXSG46FCcbgxKWG9TLpgNNVBZkUZIbIORz81ZNB/sbOswhZvI6VmnundE+gqaSKQz7rT5xnzxbZo2V5ASs5p0KtZGcW5rDQx9fzi0Pb2bXsTaHJWJXIsdau63i1qMt3Q73rSKnYjUc/h29qILomCM4fyrRlkgaCvopkY7eOGXmznYkSsQwDK772Rvc9OBGnjAzmnweF40do98t9MYTBLxuZhaH6YklrEypps6oNRlP5dC398qLVpnb9W293P74O9Zr9V+kc4NeR5V3KuaU5PC5C2YM+yIN+z18/KypPH7bKsfj2X753nnmAuF2Cauv1S1rpnJGaU7axXwwVMVxf0tkOFTkZ3GLmTo6GJ88expTC7Ksueiak6N/0WLKY0yXV37In9bVOBpUaVJvzMXLuxusjsVBn3RnXXjfK9S391qZfqrVfFdvnH0NnbiEjIEUhHzMLs62ao5mFodp7Iw6Noxt3bLTgcftYlVVAUJI13anLdOrw7xnN+5vZF9Dp9Xy5vdvH+HpbbUD5H+pTTbRdBnJMoQvPvGuoyv1qUIrkTTkh3w02QLrXdG4tfNuHkGtSEN7r9WXasN+aSrPKAoPqDd5ubre4cZJR0+sD7/XZe2M/n3jQcDpgqkxg2sqlqOKttZX17P/RCd/e/Esvn31/JMKSI6Euz84j1X9iuXCljvLtETcLg43yYr0z543neduP2egD3gYHG+Vr2FvsTKWVBWFeflLFzBpGAF6zdAMp1OCskQK09SejBYh5D1S2yKLW++8RC7KKkgOsPVwi2N0gM/jYk99B5sPNDGnJIeQ38N3r1nAD25YbG2uVPq5mukCZv8487oP+txU5GWxu76drmicMybn4HEJNtfIsQe3PbIFgCsWyk4Hj206zOd//Y4VeH9s0yEuvO9lvr4hyDVNgsUt6wDYsL+RP7xbe9KjIoaDViJpKAj7HdZCZ7SPybkBhIAmW61Ib7yPzTVNg6b9HjbbeoC8EEFO/WvqippzIQzq2nq47ZEtfObRLUO6kgxDpgD6PW4r1VE1fHvPdtGrgUxq4I9SgBsPNALSJdW/4+540z+wbg9YD8fFMRgqGJnK9NdMHBaZRZfDSS1XLs/+NSVjgqlEeqKCpVPyLIWlBnSBjH/Za46i8QRPba3lzf2NLKmU/8f5syc5etOp2Sn/+up+y43V1Bl11ErNKg6zpaaZw83dlEUCrJ5ewHPbj/HmvkZau2Pcf9MSblg+xZEa/8x22VjyleoG9jd00oeHX9Z9lzc6ZaPN1/acIOz3cMtZ6S3qsUArkTQod5ZhGMT6EkTjCWsOhD1V9rGNh7j+/jd5ZMPBlK+jxrZOtVVITy8KYRiw4O7n+esH3uQnL+0l1pfgcFM3vzGzOwZDudgiQa8j1tA/PlHT2EnNiU4+8m8bzefl++842kZu0OtoB5IpqgrDXDhnkmWhqIB1cU5gVBaI4q61c8gP+YYds9Fkhn+/dSWv33XBsI71uF3kZXlPanMxKEqJxFyOe+rOS2az6561luJaYOtqYO8Xt7AsdQcCtcl78f16HnhlH9F4gs0Hmqz2/iAbax5v68El4KI5xVyxsJSaxi4++otNZPncnG+Ob7C/31d/v51nth3j/ePO2UZ278aqqgKrTuZUogPracgP+awxmip9tDQSJC/LR1NnlHhfgo89tIltpqvqO8/u4pK5JQOCyKrt+PmzJ/HwGzUAjvS7zTXNbK5pZu28EmoaO3lqay03r546qFwq1lFZkOVIjbxg9iRLkc0vy2F3XbuVrghyB6c61c4uzh6XoNtQBH1ua7wsJC0Re1PI0XDloslcuWjy0AdqMkrY73Fk6w3FvdcuHNCuZiwwhGqy6HYUMgohCPrc/O4zqxEIqyYF4IW/PY+Q383re0+wdn7q2JgQgm+um8/X/3MHu+s62LC/kfbeuKPw8dPnTWfdmWWU5wURQhDrS/DklqNsqmniby6caVlpalriD29YzE/X7+W+56s52NSV8n0BxzjrU4m2RNKg/J9HW7p555DsErtkSoS8LC8tXTGq69r5772NtPfEWVCWSyIBP/zzbsdrtPXE2HakhYKQz5o8d9u5VQ6TXPlHL5lXzF8tKGVzTTN/3HGcRMLgtl+9xVd/v90xd0C1Tp+Sn+XYratF81vr5nPuzCI21zTzN48lA+iluQGrd5SaKjjRUJZIaUTHGjQDuXReCXNKxn40dcJUIomEN2UmYWVByKFAQNYFFYT9XLW4LG37optXVXL5ghLeO9rKj17cQ9jv4eyZyf5iPo+Livwsa1Pndbt46JblPPuFc/js+dOt41S9yerpBdy8upL9JzpJF/I4FecpFVqJpEE1ydtysJl3DrUQyfIyrTBEXpaP1/ee4I7fbLWOPXdWITcsr+D3bx91ZGLc+su3+NN7dYT8Hi46o5it37iEr11+hsMkv2x+KW6X4ILZk7hqcRkBr4vPPLqFbzy1g+d31vHYpkM8+PoB63gV6+gfNF4+NY+d91zKTasq+dKlszl7RiHxhEF+yMeue9ZSnBNgzYwCgl73hK2qVrGd0WRVaTSjJWHWVxiG95TE0WYVZ1Pb2sOWg83ce+2CIWNAIb/HEVsB+NlHlrC6qoBJ2X6uWVLO6qoCsv2eQS2zOeNkiZyW7iwhxFrgR4Ab+DfDMO49Fe9TWZBFYdjPK9UNvFfbxpkVEYRIzn9W7cevWFjKTasqae+J88iGg9zz9E4MA2umNiQzS5SP0l44dddlc7h+WTl5IR95IR+vfflCln/7zzy64RCLKyIYwLPbjxEJernvhd00mKmG6kK8bmk51cfbEUJYRVBCCFZPL+D1vSeIBL1WV9NHPrES4KTiDacS1drhGrPpnkYzHvSZlkif4RlWS5yRMr1IBtjzQz6uWDg6N+tlC0q5zJxHE/Z7eMxMl//Du0d5YvNh3tgnE2Y+fW4VD7y6n6kF41OxftopESGEG/gp8AHgCLBZCPGUYRg7T8F7sWJaHs9uP45LwPeulW037P56IeAnNy4BoDQXrl9azm+3HCHL5+aprTKf+/9+YBZXn+lcFPOzfFy+oIQbV1SSH/KRH0pWfhdl+7lp1RQe3XCI71+3kOd31vH9P1Wz7ch2K2ZQb2uk+E+DTK9bMkVWxDbZkgAmqvJQXH1mGT2xPqqKwkMfrNGMEX2mJdJn+IbVUHSkrKoq4IzSHO69Zugq/pFy1eIyKgtCrPvpfwPwlcvm8OW1c8a8lmYwTjslAqwA9hqGsR9ACPE4cBUw5koE4BNrpuH3uLl0Xonlx/z6lXP59HlVvFXTPMCU/P71i7j94pkUhv189MFNvH2omdvOrRpgvrpcgv//kaUMxj9+cD63XzSLomxZBXv/y/u4eG4x31o3n8t//Jo1IS8datzoZfOHPnai0H8UrUYzHvQJqUSyA6FTUjdVlO3nudvPGfPXVdjrbIQQuMdxr3g6KpEywJ4DewRYearebNnUfJZNdfaHCvs9hIvCg+6WVSrtrz+1kpbu2LBy4Pvjdgkr+F5ZEGLb3ckxqi/fef6wMquyfB42fPWitHOuNRoNTBNTeZfdrJy9ItOijAoVY7XPchkvTkclkmr1dOQoCCFuA24DmDJl8Il7pxqP2zVmOe12pTGS1NzBelZpNJokn173ELnrX+LWtVdmWpRREfS5uf+mJZYLezw5HbOzjgD21KJywNFMxjCMfzUMY5lhGMuKigaOKNVoNBo7Zfk53HHtulFPGp0IrJ1fmpE2PKejEtkMzBRCTBNC+IAPAU9lWCaNRqP5i+S0c2cZhhEXQnwe+BMyxfcXhmG8l2GxNBqN5i+S006JABiG8SzwbKbl0Gg0mr90Tkd3lkaj0WgmCFqJaDQajWbUaCWi0Wg0mlGjlYhGo9FoRo1WIhqNRqMZNWKwka7/WxBCNACpRw4OTSFwYgzFORWcDjKClnMsOR1kBC3nWDPeclYahjFktfb/eiVyMggh3jIMY1mm5UjH6SAjaDnHktNBRtByjjUTVU7tztJoNBrNqNFKRKPRaDSjRiuR9PxrpgUYBqeDjKDlHEtOBxlByznWTEg5dUxEo9FoNKNGWyIajUajGTVaiaRACLFWCFEthNgrhPhKpuWxI4SoEUJsF0K8K4R4y3wsXwjxghBij/l93CfTCCF+IYSoF0LssD2WUi4h+bF5frcJIZZkUMa7hRBHzfP5rhDicttzXzVlrBZCXDoeMprvWyGEWC+E2CWEeE8Icbv5+IQ5n2lknFDnUwgREEJsEkJsNeX8R/PxaUKIjea5fMIcK4EQwm/+vtd8fmqG5XxYCHHAdj4Xm49n5B5KiWEY+sv2hWwvvw+oAnzAVmBupuWyyVcDFPZ77P8BXzF//grwvQzIdS6wBNgxlFzA5cBzyCmVq4CNGZTxbuDOFMfONT97PzDNvCbc4yRnKbDE/Dkb2G3KM2HOZxoZJ9T5NM9J2PzZC2w0z9FvgA+Zj98PfNb8+f8A95s/fwh4Ypw+88HkfBi4LsXxGbmHUn1pS2QgK4C9hmHsNwwjCjwOXJVhmYbiKuCX5s+/BNaNtwCGYbwKNPV7eDC5rgJ+ZUg2ABEhRGmGZByMq4DHDcPoNQzjALAXeW2ccgzDOGYYxtvmz+3ALqCMCXQ+08g4GBk5n+Y56TB/9ZpfBnAh8Dvz8f7nUp3j3wEXiZHMox57OQcjI/dQKrQSGUgZcNj2+xHS3xzjjQE8L4TYIuQseYBiwzCOgby5gUkZk87JYHJNtHP8edMl8AubK3BCyGi6U85E7kwn5PnsJyNMsPMphHALId4F6oEXkFZQi2EY8RSyWHKaz7cCBZmQ0zAMdT6/bZ7PHwgh/P3lNMnYPaSVyEBS7TomUgrbGsMwlgCXAZ8TQpybaYFGwUQ6xz8DpgOLgWPAfebjGZdRCBEGngS+aBhGW7pDUzw2LrKmkHHCnU/DMPoMw1gMlCOtnzPSyDJh5BRCzAe+CswBlgP5wF2ZlrM/WokM5AhQYfu9HKjNkCwDMAyj1vxeD/wH8qaoU6as+b0+cxI6GEyuCXOODcOoM2/eBPBzki6WjMoohPAiF+d/Nwzj9+bDE+p8ppJxop5PU7YW4GVkDCEihFCTXe2yWHKaz+cyfBfoWMu51nQbGoZh9AIPMYHOp0IrkYFsBmaa2Rs+ZHDtqQzLBIAQIiSEyFY/A5cAO5Dyfcw87GPAHzIj4QAGk+sp4KNmhskqoFW5acabfn7kq5HnE6SMHzKzdaYBM4FN4ySTAB4EdhmG8c+2pybM+RxMxol2PoUQRUKIiPlzELgYGb9ZD1xnHtb/XKpzfB3wkmFGsjMg5/u2TYNAxm3s53NC3EMZieZP9C9k5sNupO/07zItj02uKmSGy1bgPSUb0mf7IrDH/J6fAdkeQ7ovYshd0icHkwtpiv/UPL/bgWUZlPERU4ZtyBuz1Hb835kyVgOXjeO5PBvpmtgGvGt+XT6RzmcaGSfU+QQWAu+Y8uwAvmE+XoVUYnuB3wJ+8/GA+fte8/mqDMv5knk+dwCPkszgysg9lOpLV6xrNBqNZtRod5ZGo9FoRo1WIhqNRqMZNVqJaDQajWbUaCWi0Wg0mlGjlYhGo9FoRo1WIhrNOGB2Y/1WpuXQaMYarUQ0Go1GM2q0EtFoNBrNqNFKRKM5BQghzhRCvC2EaBdCPIGshEYIkSeEeFoI0SCEaDZ/Ljefu14IsaXf69whhPjPDPwLGs2w0EpEoxljzJ5r/4lsAZKPbKNxrfm0C9lIrxKYAnQDPzGfewqYJoSwd5m9yXwdjWZCotueaDRjjNme/3GgzFCNjoR4A9nM7+/7HbsYWG8Yhhp1+zOgyTCMvxNCzANeB0oM2cVVo5lwaEtEoxl7JgNHDecO7SCAECJLCPGAEOKgEKINeBXZltxtHvdL4Eaza+vNwG+0AtFMZLQS0WjGnmNAWb+xqlPM73cAs4GVhmHkIOe+gzlkyJCjTqPAOcCNaFeWZoKjlYhGM/a8CcSBLwghPEKIa0gOE8pGxkFahBD5wD+k+PtfIeMkccMwXh8PgTWa0aKViEYzxhiGEQWuAT4ONAM3AGo64Q+BIHAC2AD8McVLPALMR1shmtMAHVjXaCYY5mS7emCJYRh7Mi2PRpMObYloNBOPzwKbtQLRnA54hj5Eo9GMF0KIGmSQfV2GRdFohoV2Z2k0Go1m1Gh3lkaj0WhGjVYiGo1Goxk1WoloNBqNZtRoJaLRaDSaUaOViEaj0WhGjVYiGo1Goxk1/wPKRKPHBauPUgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4b57fc88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#输出的分布\n",
    "\n",
    "plt.plot(list(range(1,data_train.shape[0] + 1)), data_train.casual, label = 'casual')\n",
    "plt.plot(list(range(1,data_train.shape[0] + 1)), data_train.registered, label = 'registered')\n",
    "plt.plot(list(range(1,data_train.shape[0] + 1)), data_train.cnt, label = 'total')\n",
    "plt.xlabel('day', fontsize=12)\n",
    "plt.ylabel('count ', fontsize=12)\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "plt.plot(list(range(1,data_test.shape[0] + 1)), data_test.casual, label = 'casual')\n",
    "plt.plot(list(range(1,data_test.shape[0] + 1)), data_test.registered, label = 'registered')\n",
    "plt.plot(list(range(1,data_test.shape[0] + 1)), data_test.cnt, label = 'total')\n",
    "plt.xlabel('day', fontsize=12)\n",
    "plt.ylabel('count ', fontsize=12)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">### 数据之间的相关性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4bb7a048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4ba4e438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#获取数据名称\n",
    "data_desc = data_train.columns\n",
    "\n",
    "#获取协方差矩阵\n",
    "data_train_corr = data_train.corr()\n",
    "plt.figure(figsize=(13, 9))\n",
    "sns.heatmap(data_train_corr,annot=True)\n",
    "\n",
    "# Mask unimportant features\n",
    "sns.heatmap(data_train_corr, mask=data_train_corr < 1, cbar=False)\n",
    "\n",
    "plt.show()\n",
    "\n",
    "#获取协方差矩阵\n",
    "data_test_corr = data_test.corr()\n",
    "plt.figure(figsize=(13, 9))\n",
    "sns.heatmap(data_test_corr,annot=True)\n",
    "\n",
    "# Mask unimportant features\n",
    "sns.heatmap(data_test_corr, mask=data_test_corr < 1, cbar=False)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "temp and atemp = 1.00\n",
      "registered and cnt = 0.93\n",
      "dteday and season = 0.83\n",
      "atemp and cnt = 0.78\n",
      "temp and cnt = 0.77\n",
      "casual and cnt = 0.71\n",
      "atemp and registered = 0.70\n",
      "temp and registered = 0.70\n",
      "weathersit and hum = 0.58\n",
      "atemp and casual = 0.58\n",
      "temp and casual = 0.58\n",
      "season and registered = 0.57\n",
      "season and cnt = 0.54\n",
      "workingday and casual = -0.54\n"
     ]
    }
   ],
   "source": [
    "\n",
    "threshold = 0.5\n",
    "\n",
    "corr_list = []\n",
    "\n",
    "size = data_train_corr.shape[0]\n",
    "\n",
    "#Search for the highly correlated pairs\n",
    "for i in range(0, size): #for 'size' features\n",
    "    for j in range(i+1,size): #avoid repetition\n",
    "        if (data_train_corr.iloc[i,j] >= threshold and data_train_corr.iloc[i,j] < 1) or (data_train_corr.iloc[i,j] < 0 \n",
    "                                                                                          and data_train_corr.iloc[i,j] <= -threshold):\n",
    "            corr_list.append([data_train_corr.iloc[i,j],i,j]) #store correlation and columns index\n",
    "\n",
    "#Sort to show higher ones first            \n",
    "s_corr_list = sorted(corr_list,key=lambda x: -abs(x[0]))\n",
    "\n",
    "#Print correlations and column names\n",
    "for v,i,j in s_corr_list:\n",
    "    print (\"%s and %s = %.2f\" % (data_desc[i],data_desc[j],v))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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aGqZw6KFY1W/NjC6MApKISFw0aukI9LD59XeTgeXJhfWUOR3cOXM8AH/xvRZueezH/NYlFcnEhVnXXs6KrfuZefVlzFr9EyY/uA3fEK64cLG0ZCciQ1YkEiXQE2sZ0RkM4zQmmdDw2I63aZg2hr+cPZnlW9L3j2pG+mg95QfOJi4k3sPZHkY6d3RhNEMSkSEpEonS3hli8cY9THpgG4s37qEzFGb0ME/ymrtvqmH5lv29atgt/NRVyWy6RMZd4v1Q62HUnxSQRGRICmQ58LpkU0va2aLEzCfVrqMdVJW7ePHA+8lU7+1vvs+axjpqRvlYv7Bee0cXSfNJERlyIpEoPk/2A6/jqr386L7PsXrHYY51BLI2zzvd3cOhh+ZwpruHqnIXX/30hGTLiEqPXudfLH3lRGRIiUSiBMNROoNhDj00h+33foaGaWOAWLB5+6Sf+58/wAO//0mqyp2smjet1+HXb/3gIFf/9Yvc9ewbdPVEh3TLiP6kGZKIlLTM5ndlBvzBcFq78USiwm3Tx7LqpUPJ5btHbp/K6h2HeeT2qYyr9uLvDvP0q+8kl+u0V9S/1DFWREpWtk6vaxrr2Pz6uzy24+3kdTMnVPOdO67jWz84mKy0kOj4ai10hSLJ4qgl3tk1X9QxVkSGtsy6dIkWEbOuvTztuliiQlmvsj9vn/Rzx5Ovg4l1dVVn1/xSQBKRkpVal67pD66h5Vu38i+LbmTM8HKa/uCa5HWJduOZe0Xb33xfy3IDSHtIIlKSolFLZyjM9eNHMGvKaL449XLuevaNs0t38+swBn745klWzq3l+3uPJ/eKOoNhvG5nWvac5J/2kESk5CT2jja9/mtumz6WYRUu7nr2jbT07ZkTqnliwQza/SFW7zjMydNBtRrPn5y+oJohiUjJSd07am3rZPX8uj6b7LX7Qzz2x3VKUigA2kMSkaKW2m7cHwwTjdq0vaPmfSc43dWTtcne6a4ebnnsxwBKUigACkgiUrQy240/9dMj+INhAHYs+yxNf3AN2+/9DJVuF2vmp7eUWDO/jhf2vhcrhBpUe/FCoCU7ESlaqUtzDdPGcNv0sXz9mT1piQubf/Eua19u5b831vHEghn4PC5Od/Xwg5b32H7wJI/Oq8Whl+YFQd8GESlaqUtzd99Uw4qt6ZW5l26OnTkKRy13/cteFm/cg787zEeBHu74nfE8cvtUqjwuyl1K6y4EmiGJSNHILAPkMCSLn1490kdTwxRqRlVy4qMuHAZ+65IKukIRGqaNoXnfiWQig8MYjIHLqjxKZCggCkgiUhSylQFa21jHkwvr+cnhU3QEQjQ1H0w+9ui8Wr75XAsnTwdZObcWgLYzQY51BLisypOstiCFQ98NESkKqftFACOrPHQGI1RXevjspFGcOhPk2a/dSOspP+t2trJ8y36aGqYwa/VPWLF1P4/cPhWX01DlcanyQoHK6x6SMWa2MeaQMabVGPNXfVzzZWPMW8aYg8aYf83neESkeKXuFzVMG8N//f1PAvG071CY+58/wOQHt9HUfJD7vjCZ0cM8yZbiiT5HI3xuqsrLtERXoPIWkIwxTmAdMAe4Bmg0xlyTcc1E4H7gd621U4B78zUeESle0ajF3x1OniVaMXsywUiU+58/wK/aOlm6qaVXm/F7b5lE6yk/ENtnipUD0lmjQpbPGdINQKu19oi1NgRsBr6Ucc0iYJ219kMAa+2pPI5HRIpUoCfC06++w8q5tcycUM0lFW6Wb4ll1PXVZnxctZfv/Kg1WSg10T5CClc+A9IVwLGU28fj96WaBEwyxrxqjPm5MWZ2HscjIkUoGrVg4f+9qYYRvjL+aWE9Xs/Z5bvWU/6sVRjOdIf5hy/X0dQwhRf2HqerJzoYw5cLkM+AlG1enFnJ1QVMBD4HNAJPGmOG93oiYxYbY3YbY3a3tbX1+0BFZOBlK/mT7Zr2ziBPvXKEEx9189Qr7/CBP8TJ33Qng9C6na3JmVOyCkNjHRtefSe5p9R44yeUyFAE8plldxy4MuX2WOBElmt+bq3tAd4xxhwiFqB2pV5krX0CeAJi1b7zNmIRGRDZU7h7V9qOZda10NQwhRVb9yffj6zysGreNO7bsg+HgTKn4V8W3UggGMEY8DgdfPXTE7jn5okqmlpE8hmQdgETjTFXAe8B84E/ybjmBWIzo6eNMZcRW8I7kscxiUgByEzhfu1IO0s27WX9wnq8Zc7k4ddEZl1inyjxPhyfTa2aV4vb5WDJppa0s0kVPg+VrtifN501Kh55W7Kz1oaBe4DtwC+B56y1B40x3zbGNMQv2w60G2PeAnYCy6217dmfUURKRWoKd8Kuox143c5ksdRl32vhTDyzLrFPlLpf1LzvBP5gbAaVmmG3ZFMLgR4VSy1GeT2HZK190Vo7yVp7tbX24fh937LWNsc/ttbaZdbaa6y1U621m/M5HhEpDIFQJGsiQmcwnJw53fW5GjbEM+u2v/l+2vvEflFfGXbKqCtOKq4qIgPOW+ZkbeP0tESEtY3T02ZONaMqWftyK6teOsSsay9nzPByFnxqPFdcWs7jd87g8MNzCITCWQNbIKQZUjHS4qqIDDiHw1Dtc8f2jOKFUitcDjqDkWSx1MTyXPO+EzTvi+VDzZxQzSO3T8XncVFpwed2sbZxelpyxJrGOipceq1djIy1xZW0Vl9fb3fv3j3YwxCRfubvDvPUK0e4bfpYVmzdz+hhHu6bNZnlW/anJSz44u0iEllzkUiUzlAEn8dF6yk/2998n8YbP9ErY08GVU7fCM2QRGRQRKM2lpLtcRIIRqhwOzjyQSfGkEzhDobDrF8wA6/HRXdPhGjUUl4Wu97hgHKXk65wlK8/syeZsQfw2pEO1i+sV4ZdkdF3S0QGXCQSpT0QYmlKuvZ37riOv5z923zzuX1pLSQqylzYqI0nPLSkPVblcVFZ7lJiQ4nQQquIDKho1NIZivQqiPpRoIdvPrcv7b7lW/bTE2/Kl5nevXzLfj4M9PSZsafEhuKjgCQiAyrQE9vvyZzVXDnCm3WmU+lxZb1+19EOrhzhxedxZc/YU6mgoqMlOxEZEJFINBmM3j4Zy6AbWeXh7ptqqBlVyZnunmSGXcL140fEOrxWevp+rMrTK2NPpYKKk2ZIIpJ3kUiU9s4Qizfu4e2TsUy4tfPr+MvZk2lqPsjkB7ex8WdHWTO/Lm2m8+i8Wi71luEw8A9fntbrseHesmTwqfS4km3JFYyKk9K+RSTvznT3sHhjLBOuYdoY7vvCZMqchmXxPaOEZbdM5L/83lX4PK60TLrEcwRCEUZfUp4solrucuB06nV1EcjpFYK+kyKSd6l7QM37TrDqpUOMvqS8177Q2pdb8SVmOuWuZIdXh8NQVV5GVUVZ7EIDFWVOBaMSo++miORdZzC9xE/zvhO82x7IKTsu0TcJA9Zaim1VR3KngCQi/aavpnveMmev/aHh3jLWNtadMzsu0Tdp0YbdTHpgG4s37uG9D7t56qdHaO8MZW3qJ8VLe0gi0i8S3V1TD6+uaaxjRIWb7kgUr9tJZzCcUrsuloyQ6H2ULTvOHwyzaMPutH2mmROqaWqYQlPzQVVjKB7aQxKRgRMI9T68uvn1d+no6j3D+edX3uHDrh6Ac2bH9dU3KdF2QtUYSosCkohclMzluQq3o1fwmHXt5b0qMqzYup9Z117Okk17z9tIr68qDIlK4KrGUFoUkETkgkUiUT7oDCZnPos27Ka9M8SSz9ekXddXA73UGc659oGy9U1KNOpTNYbSo8VXEbkgmbXoAF470s7STS08vmAGEEvfvn78CPzx7LrMCguJGc677QF8HlefrSIy+yYl9qC++ukJqsZQgpTUICIXxB8MU1HmZPKD2winzG5cDsOhh+bQ7g8ywufm+IddXOorIxiOplX1Xjm3lhf2Hue26WNZ9dIh2s4ElZxQ+tQPSUT6n9ftTNaiyzbzaWo+yPoF9VxW6cHhgEq3K22GU1HmZNa1l7PqpUM07zuBy2GUnCCAApKIXIBEIsP2N99n5dxaVmzdnzbzWfXSIXYd7aDC7cQYcJjYC+PKeEUFYwx3/tMvegWyQCiiGZIoIIlI36LxXkSJc0JYeLW1jT++YRzf+8W7fOeO66gqL6P1lD8545k5oTpZhTszyCSSFJZs2pvSllzJCRKjgCQiWSWqJKQGj2e/dgNTxgzne794l1nXXk6lx0V7Z5Cm5oPsOtqRrMJd5XFlDTKZSQpqFSGplNQgIkD6bCiRzfaBP4TDQEWZC6/HiT8Y5ulX3uGxHW8nP2/ZLRP5yu9eRWV5eoVuBRlJoUoNInJ+0aglEArT3hnkqZ8e4e2TfrxuF53BWHAKhqMs2hg7b/T1jXu4bfpYGqaNSX7+2pdbqfS4YvtAKRW6RS6UApLIEBaJRPEHw5SXOQlHLI03jGP7m+/TesqPz+PCAsu37O9VaeHum84egE2cN9I+kHxcCkgiQ1Q0amkPhPj6M3uY9MA2lj23Dwss/NT4ZBdXn9vVZ6WFROWENY11+NwXv0TXV4VwGXoUkESGqEBKtYXE7Gfp5hYwhpFVHsJRm6yokCqWph3m8MNzWL+wnst8notulJfZXiJRgkhBaWhSQBIZgqJRi9eTvZJ2pcfF8lmT2X7vZ7h6pI/VGX2MYjOivit0X4hAT4Qlm/amBcVciq5KaVLat8gQFOiJ8MGZYNZqCyc+6uJSr5sxw520nvJzpO0Mj985g8pyF/7u8MdansvUV3sJVW4YmjRDEhlColFLIBgGC2MvrWBNRsfWVfOmUeF2sGjjbiY/uI2m5oNMGTOcp199h85gmEqP66KX57Lpq72E2koMTTqHJDJERKOWM909nAmGWb4lVvLnvzfW8bs1I/F5XLSe8jPcW8a9m1uydmidOLoyWQqoP8eUefh2beP0Pqt/S9FScVUROSvQE+HDQA/3P38gGXC2vXmS+vEjqCx3ccXwiqxN9hJZdfmoN6fKDZJKS3YiQ4TX7eTKEd5kwGmYNob7vjCZJZtaYhluG3fzgb93k73rx4+IVW7I0zkjh8Ocs425DB0KSCIlLLFn5O8OA7FeRomAc/dNNazYmn7o9d7NLSz81FVZsuo0a5H8y+uSnTFmNrAGcAJPWmv/PuPxrwCPAu/F7/of1ton8zkmkaEi257R9eNHsGZ+HdB3e/HKcheP3D6VcdVeAvHyQQpGMhDyNkMyxjiBdcAc4Bqg0RhzTZZLv2etrYu/KRiJ9JPucCRr6Z+lm1tY8KnxdPWR4XasI9ZWHAuV5VpCk4GTzyW7G4BWa+0Ra20I2Ax8KY//nojERaOWzmCYqvKyrLOgqvIy/vr7B/iHL09LW55b21jHqGEeZbnJoMjnkt0VwLGU28eBG7NcN9cY8xngMPAX1tpjWa4RkQsQq4DQQlPDlD5bjTfvO4HDwPoF9Xg9ynCTwZfPGVK2n+rMQ0//Cxhvra0FdgAbsj6RMYuNMbuNMbvb2tr6eZgipSUatckKCOt2trJybm2vw6/rdrYCcPJ0EOKtxpXhJoMtbwdjjTEzgSZr7az47fsBrLWP9HG9E+iw1l5yrufVwViRviUSGYgHmNZTfl771QfMvPqy+FmiMP/8yjusfblVh1BlIA36wdhdwERjzFXEsujmA3+SeoEx5nJr7fvxmw3AL/M4HpGS1x2O0BmK8M3n9iWz6lbOreWFvce59IZxvHXiN8y69nLuuXmiluik4OS8ZGeMuc4Ys8QY8+fGmOvOd721NgzcA2wnFmies9YeNMZ82xjTEL9siTHmoDFmH7AE+MqF/xdEJCEahW8+t69XQ70FnxrP5l+8y+XDvTQ1H0xWXVAwkkKS05KdMeZbwDzg+fhdtwFbrLUP5XFsWWnJTqRvUWuZ9MA2win9hFwOw6GH5jD5wW0cemgOHZ0hLdPJQMvphy3XGVIjcL219m+stX8D/A7wpxc7MhHpP6kdVzuD4axnixKN9gKhsIKRFKxcA9JRoDzltgf4Vb+PRkQuSCQS5YPOYLLj6j+/8g5rMhrqrZxby/Y332dtorGegpEUqFyTGoLAQWPMvxNL3b4VeMUYsxbAWrskT+MTkT5Eo5bOlDbkAI/teBuAJxbMwOdxxYqiup189fcmqASQFLz1Y+PHAAAgAElEQVRcA9L3428JP+r/oYjIuUSjlkBPhHKXg66eCL54hezRwzxp1619uZV7bp6IwxiqyssAqCxXHWUpfDkFJGtt1gOrIjIwEo3sdh9tZ8YnRrB0c0syrfvRebVELTTvOwGc7bja372LRPItp5dNxpj/xxiz1xjTYYw5bYw5Y4w5ne/BiUhMrBTQXmZefRlL4x1dE2ndy7fsZ9mtk9LaReSrd5FIPuX6Emo1cDtwwBZbz3ORIpZYpqsoc9DUMIVhFdmLpY6r9nLooTl0BsPqXSRFK9eF5WPAmwpGIgMnUQaoMximvTNEU/NB3j7pz5rW3RkM09UTW6ZzOrVfJMUp1xnSXwIvGmN+TCzjDgBr7WN5GZXIEBeNWkLhCC6nA6/D4HW7aGqYwmu/+oCVc2tZsTW94Z63zKlAJEUv14D0MOAndhbJnb/hiEhiZmSJtRxP7fa6cm4tL//nSZoapjBxdGUsrVvBSEpErqWDdltr6wdgPOel0kFS6rpDYUIRS2W5i9NdPVR6XPyqrZN1O1tpOxOkqWEKTc0HWb+wXpl0Uiz6tXTQDmPMFz7GYETkPKJRSyAYJhyNtQ5/78MuNv7sKCc+6mb7m+9z3xcmM3qYh5pRlaxtnK5MOik5ub68uhv4S2NMCAgRi3bWWjssbyMTGUISy3RnMpboVs2bxtY9x5h17eWs2LqfR26fqnp0UrJymiFZa6ustQ5rbbm1dlj8toKRSD8JhMIEQhGWb9mfdsbovi37mHXt5dSMqkymd6senZSqXA/GGmPMHcaY/xq/faUx5ob8Dk2k9EWjlkAoTIXbyehLyrOeMaoZVXm2WncwomAkJSvXPaT/CczkbMdXP7AuLyMSGSIS5YBOnQ5ypjvMu+2BrGeM/N3heLXu6Xjd2jeS0pVrQLrRWns30A1grf0QpX+LXLRYpe4wI3xuLqv0MKy8jNU7DrNybm1a64i1jXX4PE6++ukJ2jeSkpdrUkOPMcZJrPUExpiRQDRvoxIpYbGZUZAlm84WSP3unTM4eTrIqpcO0dQwhZpRlRzrCOBzu3A5HVTqnJEMAbn+lK8l1n5ilDHmYeAV4JG8jUqkRCVmRks2pRdI3fBqrLFe25kgv7/2p9zx5Ot4PU7cCkQyhOR0MBbAGPPbwM3EUr7/w1r7y3wOrC86GCvFKrFnVF3pZtID2whHz/7uuRyGQw/NpisUxetx8t6HXXz/jeN89dMTdPhVSkFOa805/aQbY56x1t4J/GeW+0QkB4kWEusX1HP9+BHJLq8QS15oPdXJrNU/Sd7nchjuuXniYAxVZFDkuh4wJfWGMcYFzOj/4YiUpmjUgoVnv3YjYHl0Xnrywpr5dWx/8/20z0k02hMZKs45QzLG3A/8NVCR0ZCvB3ginwMTKRWp3V5nXn0ZwyrKsMC6P5nOJV43xzoCeN1OGm8cx2tHOpKJDioPJENNrsVVHwH+GzCJWMVviJUO+knfn5Uf2kOSYpBorOd1O+kMhmk9dYYrhnvTWo+vmV/HCJ+b7p5o8nxR4nMCoQjeMjXak5LRr8VVjwA/AX4INKW8F5EUkUiUM909YOCDM0GWfa+FxRv3cMWlXjb/4t20zLqlm1tiTfXKY6WAHA5DpceFw8TfKxjJEJNrQFoCXA/82lp7EzAdaMvbqESKUCQSpb0zxOKNe5j0wDbuf/4Ay26dzMgqD0s3tTDr2svTrt91tAOfMuhEknINSN3W2m4AY4zHWvufwOT8DUukeESjFn8wTFdPlKWb088Xrdi6n7tvqknWpEuVaD0uIjG5BqTjxpjhwAvAvxtjfgCcyN+wRIpDImFh0YbdVLidfRZHTQSfzMw6JS2InJXTeoG19g/jHzYZY3YClxDbRxIZ0gKh2Nmi1460JytyZ54vOtYRYOXcWrxlTh6/cwaV5S61HhfJ4oJ/G6y1P7bWNltrQ/kYkEixiERi5Ryf/dqNbL/3M7z2qw/6LI76wt7jBHoiuJwGLFSVlykYiWTQjqrIRYhEorQHQixNKZC6cm4tR9rO8J07rmNYRRmnu3owwDeefYM1jXX43JoRiZxLzrXsCoXOIclgyTxbtHjjnrTluZkTqvnunTP4xjN7Ug631uFzu8BAuUvnimTI6tdzSCJDWmrywqQHtuF1u7ImMFR6XGlZdks2tXDswy7+7OndtHeGYiWERCQrBSSRHCQKoyaCTSKBIVWsQKo/7b5Ell0sOO0l0KPadCJ9UUASyYE3I6V73c7WXgkMaxqzF0hNBKldRzvUglzkHPIakIwxs40xh4wxrcaYvzrHdX9kjLHGmPp8jkfkQiUOvQaCkbQZUfO+Exw88RGP3zmDww/P4fEFM7jE4+KP6q9MC1Ir59aybmcroOrdIueTtyy7eMvzdcCtwHFglzGm2Vr7VsZ1VcRKE72er7GIXIzEvtGSTXsZPczDo/NqWb5lP7uOdrDk8zXM+MQIvp6RwPDvb/3/rF9Qj9fjxN8d5ulX3+HFA+/HU8BVvVvkXPKZ9n0D0GqtPQJgjNkMfAl4K+O6vyVWSfy+PI5FJGeZ2XQjqzy80HKCqIVHbp/KuGovp7t6uOvZN5JZdokEhkdun4ol1vuo0uPiq5+ewD03T1T1bpEc5DMgXQEcS7l9HLgx9QJjzHTgSmvt/zbG9BmQjDGLgcUA48aNy8NQRWJis6IgS1LOF62aNw2ILdO9eOB9Dj00h6rysqxZduOqvbSdCWLiFbsT7cfVhlzk/PK5h5TtpWAy59UY4wD+Efjm+Z7IWvuEtbbeWls/cuTIfhyiSLpAKMySTekFUu/bso/ls2K1hBOlgPrKsnvvwy4uq/QoeUHkIuQzIB0Hrky5PZb0gqxVwLXAj4wxR4HfAZqV2CADLZG4ELUWryf7+aIrLq1g5oRqVs2bRpnTcPVIH6vn1/VKYPj+G8c51hFQ8oLIRcjnOsIuYKIx5irgPWA+8CeJB621vwEuS9w2xvwIuM9aqzIMMmBSExd2He2g5VtfyFogNRCM8MjtU1n5w/+keV/sddWyWybyxIIZeN0uWk/5eWHvcW6fMZYqj0vJCyIXIW8ByVobNsbcA2wHnMBT1tqDxphvA7uttc35+rdFchXoibDp9V/T1DCFmlGVdIXCadl0148fwaPzagmFY0kObWeCuByG68ePoPHGcXjLnHSFIkwcXckVwyfgcKhEkMjFUi07GdIi0SjvfdjNiq1n07kXfGo8HwV6uHKEl2MdAS7xlvE3PzhIzUgfCz41nqryMo51BBg1zIPXrWQFkRyolp3I+QRCEVZs3Z9MYnhsx9ts/NlRRvjcAFzqdfODve/RvO8Ea19upaq8jDuefB2fx0W5S8tyIv1JL+9kyIpGLV63M7lc13rKz7qdrax9uZV7bp7Iu+0BHvv3w8k9o+vHj6ArFGH9wnqdKRLJAwUkGbK6wxH83WGamg+m9TSqGenD3x2mzOlI2zNa01iH161AJJIv2kOSIcvfHWbRxt29eho9fucMXm1to3bscPzBWMKCvzusBnsiF097SCLn4vU4s/c0KncxZcxwRg8rp6n5IJ3BMJUel4KRSJ7pN0yGrM5gOGu1hTPdYVZs3Y8/GEsBdzqMlulEBoACkgwpaVUZ3E5WzZuWVm1h1bxp+OK9j4ZVlFGlbDqRAaOkBikpqZW6MytsZ1Zl2LHsszS3vJeWZbd1zzFmXXs5148fQWcwTFV5mWZHIgNEMyQpGYmA89RPj/D2ST8VZU78wTCRSBTo3Yb8sX8/zO0zxtLUfJDJD26jqfkgt00fy/Y332dNYx0+t0vBSGQAaYYkJSNRBui26WOTlRcS6dqX+Ty92pA37zvBjE8M54kFM/B5XPi7w3jLnMy69nKqfW4FI5EBphmSlAyvOxZMUisvvHaknc2vv0tnKAzAjmWfpWHaGAAapo3h5k+OZvHGPUx6YBtff2YPJ37TzfY336erJzqY/xWRIUkzJCkJ0ailMxRm4ujKtFlQw7Qx3DZ9LIs37kkrluowcO8tk1i+ZX9a19cVW/fz+J0zVK1bZBBohiRFL7F3tHjjHt4+md447+6banrNmJZv2c9Dt8Vakfd1DknLdSIDTwFJil5qssK6na2snFubTOWuGVWZNeh4PU5Od/VkPYek5noig0NLdlKUUtO7sTB6mAcgWQi1qWEKE0dXJg+/Zjbce/ukP5ZNN7+OpZtbkst5axuna7lOZJAoIEnRyTxPlNgXitpYQGred4K2M0EeuX0qo4Z5WNtYx5JNZ4POqnnT0jq/JrLsMs8ticjA0pKdFJ3M80SJfaFlt05KVlxYObeW1TsO43E5cDsdPHL7VA49NIdHbp+K23k24Kx9uRWfx4XDGCo92jsSGUyaIUnRyTxPBLF9oXHVXg4/PIdAMMJvukJMuMxHIBThG8++0auid1PDFJr3nYjtGQUjVJbrV0FksOm3UApeZjkghyHrvpC/O8zXnzmb3r1mfh0+jytr8KoZVcnMCdWsjfc4EpHBpyU7KWiJ/aJFG3Yz6YFtLNqwm85gmO/ecV1aUdQ1jXU8/eo7act4Sze39FnRO9H5tdrn0TKdSIFQgz4paP5gmEUbejfRW7+gHgzJWVNFmYPJD/6QcPTsz7PLYfjPv51NR2eoVyadSgOJDKicftm0ZCcFra/9Iq8nFoiwUOlx4e8jvftXbZ1sf/N9ZdKJFAEt2UnBikZtn0tub5/0s2jDbto7Q0SjFm+Zk7WN09OW8VbOrWXdzlZl0okUCS3ZSUFK7B1lVu9e8vkaFn7qKirLXbSeih1u/eqnJ1DpcSXr2XndscfW7Wyled+J2BLfwnoqPVoQEBkkWrKT4pV61qi1rZOmhilcPdJHRyDEN549m0m3en4dFWUO/MFY6wif20V7Z4im5oPsOtoRz6RT9QWRYqAZkhSkqLVMemBbWpLC9ns/Q1PzwV4JDt+9cwaVHhfdPRGstXg9LjqDYbxuJ109Ue0ZiQy+nH4BtYckBSkQivTaO+qrUGpVuQsb329aFO9ttHjjHjo6exSMRIqIluykIFW4HDx+ZywzLrFX1Fcm3bvtAS71ulm6uSWtt9GSTXu1dyRSRDRDkkERjVr8wTBRG3+fsjQXjVo6Aj18/Zk9TH5wG03NB5l/wzg8TsPaxrpemXSrdxymqiJ7RQZVYRApHnrpKAMuW7Xu1MOqqQkNQLLqwiO3T2X1jsM8cnusud57H3bx6PZDtJ0JJnsbZc6eAqGIZkgiRUIzJBlw2ap1L9m0l0BPrDFeX4dhrxzh5YWWE3xu1Y/40/WvU1Xuomakj1XzpvGDlvd6zZ6UXSdSXPTSUQZcn9UX3E78wTDY7MVTW0/5066vKi9j/g3jePHA+2w/eJLZ117O43fOoLJcFRlEipFmSDLgsmXQpVZfiESjvWY7j86LVV1Ivb71lJ+lm1v43ORRrG2so8rjwud2qiKDSJHSDEkGXKLMT+oe0sq5tax66RCvHWnnG8++wT8trE/WnzvTHSYSjdJ2JojLYdKuT/RBwqIAJFLkFJAkLzJ7GKUunzkchhHesmTAefukn1UvHUq2FN91tINyt5M/Xf96MmB9547rkgdgW0+dvX7mhGolLoiUiLwu2RljZhtjDhljWo0xf5Xl8W8YYw4YY1qMMa8YY67J53hkYGTrYXSmuwd/dzzNuzuMPxhm8cY9vH3ST1PzwWQwgrNni1KTHu569g1Od/Xw3oddNDUf5MUD759tsKfEBZGSkLeXlcYYJ7AOuBU4DuwyxjRba99KuexfrbXfjV/fADwGzM7XmGRgZKZtj6zycCYYZvmW/ckZz6PzahlZ5WHdzlZWzZvG1j3HmHXt5dSMqqQzGOb7e4+nPeeuox2MGV7BX3yvhaaGKdSMquRYRyBWxVtLdSIlIZ8zpBuAVmvtEWttCNgMfCn1Amvt6ZSbPqC4CutJVplZdHffVMPyLfvTZjzLt+zn7ptqAKj0OJl/wziamg8y+cFtfP2ZPdz8ydE0TBuTfI5Ei/K2M0F+f+1PuePJ1/F5XJS7NDsSKRX5XHi/AjiWcvs4cGPmRcaYu4FlgBv4fLYnMsYsBhYDjBs3rt8HKv0rkUWXmCH1VYOuZlQld99Uw4eBHu5//kDaQdjlW/bzyO1TefHA+8kkhp/9qk1p3SIlLJ8zpGx/KXrNgKy166y1VwMrgAezPZG19glrbb21tn7kyJH9PEzpb5nN8o51BLKmeR/rCFAzqpIrR3izBqxx1V4OPzyHJxbM4IpLy/n0pFGxdG6ldYuUpHwGpOPAlSm3xwIn+rgWYkt6t+VxPDJAHA5Dtc/N+oX1HH54DqOGeXqdK1o1bxoVbiddoUifAaszGMZhDFXlZTgdDgUhkRKXt35IxhgXcBi4GXgP2AX8ibX2YMo1E621b8c//gPgb6y19ed6XvVDKk7ZurkC/O1tU8DSK+lh1bxp/NYlHpwOnd0WKQGD2zHWWhs2xtwDbAecwFPW2oPGmG8Du621zcA9xphbgB7gQ2BhvsYjg8vhMPg8rrSme6+uuIkz3WHKnA7KnA7WL6jH63Hy3oddbN1zjK/+3gQqyxWQRIYKdYyVAZFthvR3fziVRRt3M2vKaP5w+lgqy8/2Prp9xliqPC6qysu0TCdS/NQxVgZXNGqTh2EDoQiBUIRvPtdCU/NB7vvCZLweJ6OHefj9qZfzYSAEgMflYMGnxrPjrZN849k3khXARaT0KSBJXsSqNQRZtDFerWHjbnoiUR744icZWeVhxdb9dAbD3P/FTxKMRLn/+QNMfnAb9z9/AH8wzK3XjFaDPZEhRgFJ8iJWraGl12HYzlCEu2+qSQYbn9uV9dDsJRXuZIM9ERkaVJFS8uJcTfYgcQ6pi3HV2c8geT1ONdgTGWI0Q5JzikYt/mC8KGowTDSaWxJMIJi959GxjgBdoQjfvWMGPz58ikAw3OcZpERLcxEZGhSQpE/Zqna3d4ZyCkoOB/zDl6f1arI33FvGgy8c4BvPxurVuRwmS+vxOnxuHYIVGWqU9i198gfDLNqwO62V+MwJ1axfWH/e/kNRa3nmtaPcNn0sVeUuAsEIXT1hLvW6qXlg29nnWlAf65nUR+8kESkJg3swVopftn2g0cM8YEmmcmcGj0RjPgdw8ydH841n9qS1nDh5ujt5bWKvKFGbDlCjPZEhTEt20qdE1e6EhmljuG/W5LOp3BlLeKlLfO2doazZc6mrfcqiE5FUCkjSp8yq3ctundQryCzZtDd5eDW1Md+Y4RVZs+fGDK9I2StSFp2InKX1EelTatXuxAHVrCna8cfKnQ6eWDADn8dFZzx7LnX/KTYjCnP44TnaKxKRXjRDknNyOEyyB1HmEh7Eg0wwQigUpqMrxOKNe5j0wDb++ZV3WDM/M3tueix7Tv2MRCQLzZAkmYhwviy3xBLekk17k4kKaxvrAEswCkvjlRkAHtvxNgDfueM6hlWUaUYkIueltO8hLBq1dIcjdAbDLNnUkhJkpvd5KDU1eHUGw3jdTs50hxlWUZbWWgLA5TAcemgOxoDDKBCJDGGq9i19S2TEnTod7FVzbsmmvQRCkawVGhwOg7fMSbs/tjz3zef28VGgB4Adyz5Lw7QxyX8jUZlBmXQikgst2Q1RiYy4Z792Y5+15P50/euMHubh3lsmMa7ai787nDzEumTTXkZWeVh262RWbN2fdtbIYeDk6SCPzqulyuNSJp2I5EQBaYhKHHo98VFX1my4dn+QVfNqcbscvZbzRvjK2HW0g/+z5NOs2Lo/+bmJs0brF8S60DtMrL+R9o1EJBdashuiEhlzDgOPzqvtVXOuosxFT8T2uZx3/fgR1Iyq7HN25TBQXubE6dSPmIjkRn8thqhExtxvXVLBqu2HaGqYwqGH5tDUMIVV2w9R4XZy5YjsrSF8HhdrG6dzrCPQZ6XucmXUicgFUkAaohKHXgOhMCdPB5m1+idc/dcvMmv1Tzh5OkjrKT+tp/zZzx2FIlT73Iwa5ulVqXvl3Fr++ZV3cq4KLiKSoLTvEpTruaLEte2dobSzRWsa69j8+ru0tnVy3xfSkxYyU8KjUUtnKIzX7aL1lJ91O1tp3nci56rgIjIk5LRcooBUYrIFmLWN0xnhLaMrHE0LUhDLtit3OugKR/B5XJzu6uGdD/xcMdzL0s0taVl2gWAsyGUGt6i1Wc8gHX54js4fiQjoHNLQlFrgNDURoTMUSWu0d6a7h/bOIE/99AjtgbMlf+569g2qfeXs+XUH37njOv7hy3UAdPdEqCzPXu6nz5JCOn8kIhdAAanEZOthlEhESASpkVUeLDDC52HBp8Zz7+b0TLoVW/czYWQVVeVlXP3XL3LLYz+mPOMsUWprcyx8947retWt0/kjEbkQWuAvMYnZSua5otZTfiDe0+gLk7nr2TfYdbSDQw/NyRrAakZVJj8nMdtJ7AdlXxas45++Uk95mbq+isjF0QypxGT2MJo5oZo1jXUcaTvD9ns/w9/94dTkYdZw1PaZSecPhvnOj1qzznayLwu2ELWokreIXDTNkEpMZg+jQCiWtDDjEyNYurmlV6mgdTtbWTm3Ni2Tbs38OsKRCP/w5ToCoXCsZURKgOlrWTDRF0lE5GIoIJWgRAHUQOhsVe6l8X2ixIwosaTXvO8ENSN9ycZ677YH+LsXf8nJ08E+q373tSyYuqwnInKhtGRXghJ7PImsOq/blZzRJGZEqUt6jTd+Ap/bBRYuq/Lw2B/XsX5hfZ8tKLItCyqJQUQ+Lr2cLTGJg6ojfG6aGqawbmdr2qyoed8JAB65fWrsbFFGAkJihnOumU62ZUElMYjIx6WAVEKyZb+tnl9Htc/Nd++YwYafvcPal1tpOxPE54nNiC52iS3R2hwu/jlERFKpUkMJ8QfDLNqwO21vZ+aEapoaptDUfJA1jbHg1BWKZq24ICKSJ6rUMNT0lf1WM6qS1460s3RTC6dOB8GgYCQiBUcBqYT0VcInccB119EORl9SrvRsESlIeQ1IxpjZxphDxphWY8xfZXl8mTHmLWPMfmPMfxhjPpHP8ZS6bNlvK+fWsm5nKxBPzQ5GkjXmUsv/+INhtYsQkUGVtz0kY4wTOAzcChwHdgGN1tq3Uq65CXjdWhswxtwFfM5a+8fnel7tIZ1bZuuJM109jBpWzrGOAJXlTirKXFTE07OzVQXvK9VbRORjGPQ9pBuAVmvtEWttCNgMfCn1AmvtTmttIH7z58DYPI5nSEhkv9moJRAKs+y5fUx+cBv3P3+AqAWP04HDYdLK/3xx6uU0NUxhhM9NZ0gzJREZHPkMSFcAx1JuH4/f15c/A7blcTxDSlc4ytJN6VW8l25qoTsSBc4mQCSKrTY1H2Tyg9tYvHGPur2KyKDIZ0DKNkXL+lfOGHMHUA882sfji40xu40xu9va2vpxiKXrfPXmEgkQd99Uk1ZsNdE/KdCjXkYiMrDyGZCOA1em3B4LnMi8yBhzC/AA0GCtDWZ7ImvtE9baemtt/ciRI/My2GJwIUkI52ual0iAqBlVqUKpIlIQ8hmQdgETjTFXGWPcwHygOfUCY8x04HFiwehUHsdStDKD0FM/PZLs+nqupbVYwKnLqDdXl6w3lyj/EwiF1e1VRApCXis1GGO+CKwGnMBT1tqHjTHfBnZba5uNMTuAqcD78U9511rbcK7nHEpZdtlKAa2cW8uqlw7RvO8EMydU809fqY9fC16Pk0AwkpzdnOnu4cNAD1eO8HKsI8Cl3jKqysvSsuiyN9tTtp2I9Kuc/piodFABO1cpoFmrf8JtdWP4/xqmcCYYZvmW/WndW30eF3/2dO/PXb+wvlftucxUcRVKFZF+Nuhp3/IxnasUEMC9t0ziw0APy7dkJiW0EI2S895QIlVc3V5FZDApIBWwc5UCmjmhmnHVXq4c4c0eeDxO7Q2JSFFRQCpg2UoBrWmso2aUj3/6Sj2dwTDHOgJZA09nMMx377hOTfREpGhoD6nAZdvfgVjZn02v/5rGG8YRjETT9pBWzq3lhb3HabxxHD6Pi/Iy7Q2JyKDK6Q+POqsVuGyN8PzBcLLsT2tbJytmT+aJBTPwul20nvIns/BeO9LB+oX1yb0hEZFCpr9SRSg12aF53wma953gV3/3RSY/uI1wyrkkHXAVkWKiPaQilC3Zoa+9JCUxiEixUEAqQtmSHS71lmWpzKAkBhEpHkpqKFJ9JTvogKuIFCAdjC0lmTXtgF6HWXXAVUSKmQJSEUjUm1u0YTeTHtjGUz89otbjIlJyFJCKQGZ319umj+Xrz+xh2fda+OBMEAz4uxWYRKS4Ke27CKSmeSca6o2s8rDs1sms2LpfVbpFpCRohlQEUtO8Ew311OlVREqNZkgFIC1jLhjB4SCt3I+3zMl377iODwM9GAM7ln2276KqOggrIkVKM6RBlpmwsGjjbjo6Qyz7XkuyK6y1llAkyv3PH2DSA9u4//kD+IPq9CoipUUBaZClJiwklt6Wb9nPXZ+rSVuGW7KpJe2aDa++wxodhBWREqIlu0GQukR3viZ8u4524PO4el2z9uVW7v58DesX1usgrIiUBM2QBljmEt277dlr0LWe8ic/7uxjea6rJ6qDsCJSMhSQBljmEt1j/36YR+fVpi29PTqvlu/8qDVtGS6zdp2W50Sk1KiW3QCLWsukB9LbRNxWN4aHbpuK15M9y87hMFlr12lGJCJFQrXsClG21hEnT8eqLTiMobLchdfdexlOdepEpNQpIA0wLb+JiGSnLLsB5nAYqn1uZceJiGRQQBoEieU3IPleRGSo05KdiIgUBAUkEREpCApIIiJSEBSQLlJmS3E1xxMR+Xi0o34REuV/lmza+7Ga4+mwq4jIWZohXYRsFbovtDler7YT8VYTmmmJyFClgHQR+qrQfSHN8fojqImIlBIFpIuQrfzPhTbH64+gJiJSShSQLkJ/lP/pj6AmIlJKVO37In3chIT+SowQESkCOf1Ry2tAMsbMBhILx+QAAAfkSURBVNYATuBJa+3fZzz+GWA1UAvMt9b+2/mes1ACUn9Qlp2IDBGD237CGOME1gFzgGuARmPMNRmXvQt8BfjXfI2jkKmlhIjIWfncQ7oBaLXWHrHWhoDNwJdSL7DWHrXW7geieRxHv9OhWBGR/pfPgHQFcCzl9vH4fUVN54dERPIjnwEp2/rTRf3VNsYsNsbsNsbsbmtr+5jD+nh0fkhEJD/yGZCOA1em3B4LnLiYJ7LWPmGtrbfW1o8cObJfBnexdH5IRCQ/8hmQdgETjTFXGWPcwHygOY//3oDQ+SERkfzIW0Cy1oaBe4DtwC+B56y1B40x3zbGNAAYY643xhwH5gGPG2MO5ms8/aU/DsWKiEhvOhh7EXR+SETkguT0B1LtJy5C4vwQkHwvIiIfz5CtZaezRCIihWVIvrxXHTkRkcIzJGdIOkskIlJ4hmRA0lkiEZHCMyQDks4SiYgUniEZkHSWSESk8AzJpAaHw1Dtc7N+Yb3OEomIFIghGZBAZ4lERArNkFyyExGRwqOAJCIiBUEBSURECoICkoiIFAQFJBERKQgKSCIiUhAUkEREpCAoIImISEFQQBIRkYKggCQiIgVBAUlERAqCApKIiBQEBSQRESkICkgiIlIQFJBERKQgKCCJiEhBMNbawR7DBTHGtAG/HuxxZLgM+GCwB3EeGmP/KYZxaoz9Q2PsHx9Ya2ef76KiC0iFyBiz21pbP9jjOBeNsf8Uwzg1xv6hMQ4sLdmJiEhBUEASEZGCoIDUP54Y7AHkQGPsP8UwTo2xf2iMA0h7SCIiUhA0QxIRkYKggHQBjDGzjTGHjDGtxpi/yvL4Z4wxbxhjwsaYPyrQMS4zxrxljNlvjPkPY8wnCnCM3zDGHDDGtBhjXjHGXFNoY0y57o+MMdYYM+BZTjl8Hb9ijGmLfx1bjDFfG+gx5jLO+DVfjv9cHjTG/GuhjdEY848pX8fDxpiPCnCM44wxO40xe+O/318c6DF+bNZaveXwBjiBXwETADewD7gm45rxQC2wEfijAh3jTYA3/vFdwPcKcIzDUj5uAH5YaGOMX1cF/AT4OVBfaGMEvgL8j4H+ObyIcU4E9gKXxm+PKrQxZlz/58BThTZGYntJd8U/vgY4Opjf+4t50wwpdzcArdbaI9baELAZ+FLqBdbao9ba/UB0MAZIbmPcaa0NxG/+HBhbgGM8nXLTBwz0Rud5xxj3t8B/A7oHcnBxuY5xsOUyzkXAOmvthwDW2lMFOMZUjcCmARnZWbmM0QLD4h9fApwYwPH1CwWk3F0BHEu5fTx+XyG50DH+GbAtryPqLacxGmPuNsb8itgf/CUDNLaE847RGDMduNJa+78HcmApcv1ez40v3/ybMebKgRlamlzGOQmYZIx51Rjzc2PMeU/097Ocf2/iS9xXAS8PwLhS5TLGJuAOY8xx4EViM7miooCUO5PlvkJLUcx5jMaYO4B64NG8jijLP53lvl5jtNaus9ZeDawAHsz7qNKdc4zGGAfwj8A3B2xEveXydfxfwHhrbS2wA9iQ91H1lss4XcSW7T5HbPbxpDFmeJ7HlepCfrfnA/9mrY3kcTzZ5DLGRuBpa+1Y4IvAM/Gf1aJRVIMdZMeB1FeYYym8KXFOYzTG3AI8ADRYa4MDNLaEC/06bgZuy+uIejvfGKuAa4EfGWOOAr8DNA9wYsN5v47W2vaU7+96YMYAjS1VLt/v48APrLU91tp3gEPEAtRAuZCfyfkM/HId5DbGPwOeA7DWvgaUE6tzVzwGexOrWN6IvYo7Qmy6nthUnNLHtU8zOEkN5x0jMJ3Y5ujEQv06po4N+ANgd6GNMeP6HzHwSQ25fB0vT/n4D4GfF+j3ezawIf7xZcSWpqoLaYzx6yYDR4mf3yzAr+M24Cvxjz9JLGAN+Fg/1v9zsAdQTG/EpsGH43/QH4jf921iMw2A64m9kukE2oGDBTjGHcBJoCX+1lyAY1wDHIyPb+e5gsFgjTHj2gEPSDl+HR+Jfx33xb+Ovz3QY8xxnAZ4DHiL/9veHbNGEUZRGH4PWFhYBAQLBQloIRYhICwIYiVpLGxFrIQ01gpiIRELA/oHBDvR3sJCRDsRDKiQFIKIf0ArA3Z7LWYCGytXnd1PfR+YYoZhuDPLcvh2h3thEzjfWo39/hqwPo9n+JPP8Tjwsv+83wEr86r1Vzc7NUiSmuB/SJKkJhhIkqQmGEiSpCYYSJKkJhhIkqQmGEjSAJIsJLk87zqkv4mBJA1jATCQpCkYSNIw1oEj/fycO0muJtnoG53eBEiymOR9kvtJtpI8THKmbzL6IcmoP28tyYMkL/rjq3O9M2kgBpI0jGvAx6paBp7R9WYbAcvAiSSn+/OO0nWmWAKOAReAU8AV4PrE9ZaAs8BJ4EaSg7O4CWmWDCRpeCv99hZ4Qxc8O81DP1XVZlWN6dr8PK+ufcom3cDHHY+r6ltVfaZrAzSaVfHSrOyZdwHSfyDA7aq6t+tgsghMdlsfT+yP2f39/LHHlz2/9M9xhSQN4yvdmAqAp8ClJPsAkhxKcmDK651LsjfJfrq5QRt/rFKpEa6QpAFU1Zf+5YQturEAj4BXSQC2gYvANEPeXgNPgMPArapqbRaX9Nvs9i01LskasF1Vd+ddizQkf7KTJDXBFZIkqQmukCRJTTCQJElNMJAkSU0wkCRJTTCQJElNMJAkSU34Di6Bjb7En9TeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4b3bbef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Mhe/rDWL5rFrcf/skNLcexaQHX0Rz69HoQmJth41U2lhZEdODRJRzydKfVh8dRNKfw6pc0RHQmS4Phg9xwe2MHS3qFd2898M7MenBganFYw/NxaIn9mHL4hkQQkAB4A9JfPOpA7opQgmJZS06vzNHF/dkmB4kshqrf3gbSZb+tHqXhshocfn2g/j8ptdw/bhqbF40HaFQOEhpX6/HFx4tzbluZDS992GPfmqxvaMHb53qQoXLjp/85gTuuelaVJXZDRsJS6m/ZquYFhlb7/8OoiJV7MUYVg9MicQH5X5/EL3eAJY//faA97LcrmDhDWOxYke4AnD5rFrcc9O1+OXSG3G604PfHe/AZycOx9gaNy5e9mL5rFr0+4JY8jfh7VYu9/mxfFYtNrxyIvr814+rxulOD7yBkOXnB5PhnBaRSeRrgXG+20WVSnsq7ZxkSALLNa2VhlW50OsNACL8Pu948zTeONmJO6eMxLxpo/GNp8Jbqax9/gjmXjcSrW1/xsQHXsQzb53GPTddizKnDZc8Pnz72TZ86+m3sfCGsVg1e0LM3NmjrxzHY3vbdebVrDU/mExxhF6iIpCtVkaJ5Hs0V+yjx3ja9G5z4+RoKfv9t0/CmueuLJxeP78O7Rd7Y7ZSAcJru1bsaENz42S0X+yNBrT4HYdX7GjD44um4x/+dgI8viAUAVy47I0+TmS9m8cXQIWzuIp6ONIiMolU9o8a9HPkuV1UKbWniq/ca249Gg5Wd0wasMfXmucORws2jPoG6u0NFrnfW6e6UFXmiKb9yuxXKjBfOHIeza1H0dXrK7qABTBoEZlGPkq/8zGaK+TzFZJegF7z3GF8otypew0mDK9ET39A9w+V9o6ehAEtvrdgMeyTlSqmB4lMIh8LjPO9kNdof6tebwBVZY6sP1++adOBhgHaZdO9Bv3+IDy+QLQA49FXjuPCZS82LqzHjjdPA9eN1L3fmS4PNjbVo8I5cG+xYi100eJIi8hEcr3AON8Led1O24DCgPXz60w50kq3YCQ+HXi5z2/YbX1jXAf3zYumo9cXwKpnD0ULMB74/F/hxwvq8MKR82o5fMWA+21qqsfwIS5cXeGyWjPcrOHiYqICKOR6rHw9d6S/XrnDhh51ZNXe0YPd75zX3VG3kDIpGInvp9i+bi7OfdQfU3CxcWE9aiqd6PMFoQiBMqcNPf0BKAJYqrMIuLlxMuY8+vvoYmG301aU6/YMcHExkRkVuqIuH2kkvde4fn4ddr9zHk03ftJ0Jdja+SggeYd2YOB83YXL/XA5lHCwcdnQ3R/AH9svYvywKtQOr0SfP4gebyDa2NZovmrm+Bo8sqAOilI6Kb90lOb4kqiASqGizqgo4d6brzVlgUAmBSPaas/GqaMACKzc0Yb6H7yM050ebHv9fUwedRWaW4/i28+24SOPD99oCa/HOt3p0U0l9vmCePiuKahSKwJpIAYtojwrhYo6o9do1j2yjJYb9PuD6OlX57n6A/D4rsx1aecH77u1FvfvvNLwdky1G3OuGxktWf/W52qxeueV8vUNe47jkQWxc30bm+pR7lRwdZULVWUOU14nM+B4kyjPimErjmSs9hq1vQMj6czNi6aHWzFpNlx8ZEEdqlx2VLrs6AuEUFPpxJbFM1DhsuOO60bg8UXTMaTcgZ7+QEzJenz5euuhc1AEoqlE7XxVpYtjiURYiEGUZ4We08oHK77G+AIVSOhuuLjhy1NR7rThI48fY6rdONPlwV8MceFyfwA73jyNOdeNxIThlej1BeDxBXF1pQvd/X60/PFUTL9AC3VfzxcWYhCZUTFs+JisAtGKrzG+6CEkpW6Kc8QnynDuoz6sff7IlSrBpnoc+KAL86aNjqkefGRBHb79bFt0/RUAbHq1PRrEzVaQYgUcaRFRWqw4ispEfEk7EB4dbVk8Q3fPqscXTce3nn47YRl7JJVohSBeACldDCZPiSgtpVD9CITnueIX9z6yoM6wyGRIucOwjD3yfUWR7kydT0wPElFaUq1+tPqGlooiUON24qd3z0BlmR0ebzA6T2XUmspoI8fI92YtRLESjrSILKbQ+1Ol0o0+vsXR0m370dnrs9xeWjabgspIOs9lQ4XLrlYa1g9sTeWIbVm1avYEbL57BmqHV+K3938Ojy+azjmsLOCcFpGFFGo+KWbU5A0iGArhmzq78kbOwWg+qFiq5Ty+ADouezGm2o32jh48trcdq26biNa2P2POdSPxqWEV6Or1RXcnDl+jetRUuCw12swzzmkRFZtCzCcNGDW17IcvGMKT9zTg2EN3YMviGaipdMLjD15ZeGuhBdSZjFzL7OFR16In9uHzm17DxW4vKpw2zJ8xBs2tR/HexV6s2NEW9z61Ra9RKezknCvW/5OHqIQUIhjo9+Vrw9bFDejq9euO+jx+aywuznTkGl/Sf7kvvA6r/WIvmhsnY8II/b2w3E4bOnuKv/IylzjSIrKQfOxuHC/RPlFGo758b4GSqcGMXBVFwO0Id21v+eMpzJs2Ghe7vfj8ptcMewuGO2wUf+VlLpnnTx4iSkqv3VCug4FhSyZv0HA0oQhzLi4eUNGY4sg1GAzB4w+iwmWP7hhssynw+IP4xevvY9600dh18CyaGydHO7pv+MpUrHrmUOz7ZKG0qVkxaBFZSCE6TRgFSkVBwhSg2bbV0EsF/vTuGUnTmMFgCJ1xRRUbF9aj2u0EJHDfrAk491Ef5s8Yjb/4RDnaO3rwqWEV+N4L/42H75qCsTXu6PtklbSpmTE9SGQx2djdOJ1iAG2gPL5uLrYuaUBNhRNldmukACP0UoG/eP19nd2BY1+Dxx8cUFSx483T6OrzYWnLfkx68EV851eHEQwB//RMW7QQ42K3FxUuOyARfZ+skjY1M5a8E5WYbJbNW2kBcUhKTHzgRQQ0AdquCBx76A70+UO6ryEUkoDAgPvtXnkLmluP4o2TnWicOgr33VqL2uGV6O73AwCqyuzhx9S5Hla6ZnnGhrlENFAmu/SGQjK6wNbjDUJRwmXfZksBJhKZmxtW5YoGmY7L/fAmCFidvT7dTheRrUYap47C/bdPimmSu6mpHgLC8HpY6ZqZEdODRCUm3WKA8Ie3F0tbrqzT6ur1obvfb+o1RvEp0HK7gs2LpuM7d0xCc+tRTHrwRax69hC6PD6seqZtQNeO/kAQvd4AxlS7sXnRDKyaPSGa0osEsvturY1u9Bi/Hotyg2GeqMQkqgaEwIB0VXhk1hYzMlu98zAevmtKtM2R2RilQMsdSnQHYeDKa/nxgjr0eIOornCi1xeuDuz1BmK2H3l0YT3+/tZa9PtDKLMr2NQ0DdUVTlYD5hlHWkQlRq933iML6vDgriO6PQKNRmZjqt2m/XA2Wn/ldtkHvJYRQ1xw2pXo6GtZywF0enzYvu90zP1X7mjD2Ut9gADsdiW8iNoXyPu6uVJnvj+RiCinFEWgymXH5rtnoKrMjtOdHvzopWNoPXQOAAbMb3l8QSyfVYs5141E7fBKtHf0YPc753Gmy4Orq1ymGWlpCxyMAq3HO3CUuXL2xAEjyRXb29DcODlmp+G3TnVhbI0bUOO5oghUOO15XzdX6szxfxsR5VUgBHzzqQN4+us3YvaG38VUxsWnt8rtChbeMHbAOiW302aaD+f4dOArqz6rmwJVBLCpqR7Lt195LWNr3An3wdLe3+MNorLsysemFXdotjqmB4lKkNsVHom0d/QkTW/1BUID1imt2NEGQJjmwzk+Hbhhz3E8sqAuJgW6cWE9nnjtJNb917t4+K4pOL5uLrYsnoHufv0UX683MHA9lU46NBvr5ih1HGkRlaBImuyxve1YP78urmQ7Nr2VqPegWcSfY+uhc1AEsHVxA9yucFHFz//wfjTdt6vtHGaOr8HDd03Bhj3Hda9BhdPGEZQJMWgRlSC30xZNk23Yc+xKuyFveE4opnrQqNrQRK2H9M7xwmUvIABFCFS47Nj0anvMfSLFJJG5vGjfQN+Va1BpCyejkr1OLhjOH6YHiUwql/suhediXNi6pAEbvlKPq6tc4XZDZQPTW1ZoPaR3jo8vmg5IiZCU4e7qs2pj7nP9uGqc6fIACI/M5jz6eyx6Yl840Ol0sejxBhAMhcLr0zTvSTAYwoe9Xsvv0mwVbONEZEKF2qE40fmYfSQRDIbQ6wt3Yv+fj/sghMC3nz0UUzyy483T2PRqe7RzhdOmxOzAvLGpHjUVzpgWTJH3Yvu+DzBv2ugB3S/cTju+XsS7NOdRSv9DMWgRmVCxb1c/GEYBVHvNtL0BI2aOr8GWxTNQ4bJH7wcg+lg9/QH84vX3NUHtyoaWS7ftR3PjZN3H3Lq4AfU/eHlAT8Pj6+ZCEeYK7CaX0sViepDIhDLdd6nYt3KPjHr0UnHaaxbpDaj11qkuVMRV+UUq/zy+IL7x1AFseOXEwA0t1cc1eky3y8YFxnnEoEVkQpnsUJzoA71YJNppOLIIevfKW9CX5vVzO20YMcSF3StvwXs/vBO7V96CEUNc0dHc9eOqDZcHXPi4H+vnx5XXN9Wbas6vmDA9SGRCmcxplUJK0Wh7kePr5kLK8DVbsb0NI4a4cP+cSVi983BK18/jC6Cr1xdz+0cW1KFa3Tcs2ZxWucOGy/3+6Kitwhne2ZjSwq1JiKwqUacFozmdUtjK3aj8/nSnB95AKGbOKSQxYOdgo4AfCkG3ke7WxQ3R9+KrnxmPcodyZV7MG0QwFMLXt+2PLeRwOxmwcohXlsik9DotJEoBZpJSNLv4Oboym4KNC+sHdLr47bGOAXNOrYfOYfaG3wFA0k4VkQ4hWtoF1JH3wqYoqCpzhAssBPDNp9+O7RSyvQ19gVAOrgRFMGgRWUiiOZ1M1lOZuXBDL0B7/EHsePM0mhsn49hDc9HcOBk73jyNmZ+62rgllTeY9LVpA37j1FHYvfIWHHtoLnoT3K8URrZmxPQgkYUk+qBURHrNW822Fiye3g7LlWpnC233dbsicN+sCfinZ9oGtGOKbLly4bI35rXFp1jL1f2x9Oet9K+JFTqFFCOOtIgsxCgFGBkRpNO8NdGozQziA3Tj1FGGzW3PdHnwwpHz2HXwLH569wwcXzcXD981BT966Rh2tZ2LeW16I7gujx/Vbgfuvfla7Dp4NmYkt33fB7rXxAqdQopRzqsHhRA2APsB/FlK+QUhxLUAdgCoBvA2gLullD4hhAtAC4AZADoBfEVKeUp9jLUAvgYgCGC5lHJ3oudk9SAVK73R0fr5ddh18CyabvxkWqOkRJV4ZlgUG6mGHFblwn231uKaq8rxsz+cHDAS2thUj0qXHWWOK6NLCBi+No8vaFhlWe5Q8OdL/TGPv35+Ha4ZWgabMvBvfCt0CrEQ01QPrgDwLoAh6s/rAfy7lHKHEGIzwsHocfXrJSllrRBioXq7rwgh/hrAQgCTAYwC8IoQYqKU0hx/DhLlUaSSbcviGXA77Wjv6MGPXw5v4PjGya60ytvNnt5yO2zYvGg6ur0BrN55GE9//UZserUd7Rd7o81t2zt6UFPhjAaUyHn3eAOGry1RirXXG8Ca52KrCNc8dxhbFs9AVdnAoBUZ2Wqfm3Irp1dZCDEawOcBrAOwSgghAMwC8L/Um2wD0Ixw0Pqi+j0A/ArAT9TbfxHADimlF8D7Qoh2ADcAeCOX505kVooS7loeP5JItwggkt4y6667iiJgU5RoKXqk0KL10LloZ/Yr69CuBJRQSAIS+OXSG3G604NHXzkendNyO2wJg3WFy27YSYPMIdfvxKMAvgOgSv25BsBHUsqA+vNZANeo318D4AwASCkDQoiP1dtfA+BPmsfU3oeoJGVjlFToXXdTSa1pS9FT2ftLv7ikHhUuO8rs6no2g2BdblfQ0288QuNIyhxy9i4IIb4AoENKeUAI8bnIYZ2byiS/S3Qf7fMtA7AMAMaOHZv2+RJZSbZGSYVKb6VaudirSfNFRlcJ9/7SqThcvr0NW5c0RG9nFKw9/iB+8fr70TnCOdeNRO3wSvR6Ayi3s2bNLHL5f+lNABqFEHcCKEN4TutRAFcJIezqaGs0gHPq7c8CGAPgrBDCDuATALo0xyO094mSUm4BsAUIF2Lk5BURmcRgR0mFLiBo1xx/AAAgAElEQVTQDy4HB8zJuZ22mNHVxW4vFBEuWe9Tz18r1bVTesHa7bRh06vtGFLuwFduGIuVO9pMuRSg1OXszwcp5Vop5Wgp5TiECylelVL+HYC9AL6k3mwJgF+r37eqP0P9/asyXNrYCmChEMKlVh5OAPBmrs6byCrSKW/XMkNj3VSDS58/FFOC/qMv1cHlUKAoAr3eAPoDwehr6vGGZx1eWfVZNE4dFX2MVLuCRFKuMz91NVbuaDPtUoBSV4gk7RoAO4QQDwE4COBJ9fiTAJ5SCy26EA50kFIeFUI8C+D/AggAuI+Vg0SZS3WUk9NzSHFOzu2woenGT2L59oPRJrixI6B6uGwKujz+mFTjIwvqMOOTV+GzE4dHU4mRdWxGIinX6gonO12YGLu8ExWJVFN+ZliflU43jlBIotcXgIDA0paB66u2LJ6BZS0HYo6vmj0BC28cixXb00vxRZ4r/vGKrVu+SXETSKJSkU7KzwyNdbVzcsfXzcXWJQ0JA0q/P4hyg5SiXpn6nOtGYsX21FJ82v6LmfZwpPxh0CIqAum0ZDLDh3KyUaE2kPT6Ath/qgvd/X7DFlbxxw13GY5L8SVq6ZRqQKX8YtAiKgLpdBxPd5STbclGhfG/X9ZyADM+WY033vtwwA7BkWAbH4T1ApneaNIo2PcFQhkVuVDucU6LyMRSnaey0q7Fyc7V6PfNjZPx2N523HdrLWqHV8LjC6DCeWWfsfiu7fHFGUZd3k9c6MFje9uj68DM1H+xxJim9yARZSCdYgWzt2TScjttGDHEhd0rb4n2D3z8t+3RUaHRqLF2eGW0hVN8YNFbd5Vo52e9psNAeONIdsAwN74rRCaVTml6oVsypaPfF8T9cyZh9c7Yfa/6/UG4nXbDcvj2jp6Yn5MFFqNuH3rXdc1zh9HcOBkXu72mDfYUxjktIpNKd2fcTBcb51MoJBEIyWgT3Mg80uqdhxEMSYSkhCKATU31MXNUGxfWY/c757NSOGJ0XSeMqGTRhQVwpEU0CLlsh9RrsL1GrzeAqjJHVp4j3zx+407qbme4c/3146qxedF0bF3cgHKnEu2+fu/N1+K+WbXo84cyus7a9+qVVZ/Fhj3Ho/NYTAlaB0daRBnKdTukSN897Yhj/fw6S3dmcDtt0S1GtCLpv8jI65tPvw1FAbp6/VjWciBaRdjV6884YGnfq7XPH8E/f+Gv8PqaW7Fq9gSmBC2EQYsoQ7nerj6+715z42TsOngWff5Q2o+lXffU4w3ktc+glscXxO53zg8Ixo8urMdje9ujt3vrVBdCIWTt+np8eu9VG/xBiYU3jkW128GUoEVwLEyUoXTnnNJ+fE3fvcFUBKZThZhrkde0fd8H0d2He70BvN5+MZqqA8IjL+1eWhGZXN9QSBo+1phqNxY9sS9c3GLj3/BWwHeJKEO5boeUrUXAuR4RpiPymr76mfGYMKISff4gKpw2NIyrGbBo2OPNzvX1+IM43ekxTEmyGa61cKRFlKF8rI3KxiaNydZF5ZvRmqon72lAKBTerdjjDaLcoWBT0zRs3/fBoDZkdDttePSV4zq7HtfjX/7zXRZhWAw7YhANQqE3U0yFxxtAl8c3YF1UdYUTbmd+PqhT6TWol8IcWu5AV58v7W7tWpEOG8OqXNFuGme6PHDYBO7feRibmupRU+Ey3ftWglJ6Axi0iIpYpADjG0/pbLWxuAGVZbkPWsnm1CLbgbiddrR3XGmpZLTtSLrtqfSef2NTPWoqnOjzheB2mu8PjRLFNk5EpS7huihXaunBwY4mE3X2cDtshi2VXjhyXvfcRwxxATK8L1jkfCLPo3eOibqFVJZxWt9q+I4RWUw65euJ1kWlUtCQjbVoiaos9YpE1jx3GPfdWqu77Ujj1FG4f84kLG3Rno8X3f3+hOdohW4hlBoGLSILSTeIGK2L2thUn1LBSDYqDxNVWSZqjqu37ciq2ybGtIAaVuVCrzeIqnIHmhsn484pIwtaHUm5x/QgkYWk00QXMF4XVZHiPE421qKV2xVsbKofUEzhdtgGNMdtnDoKq26bCCGAcocNQsSm9iLPH7nt/bdPiqkI1KYWWcZenBi0iCwkkya6kXVRkfmcdNJjRh3XUy0RD4Ukujx+7Nh3Gj/6Uh2uGVoOjzeIyNNrlw2MGOIa0P09UrARea4eTT/G+26txZrnDht2a2cZe3FiepDIQjJZ0DyY+Ry9XYHTWYvm8Qexfd8HmD9jNMocCv5u6z7U/+BlfE1NawJX9r16aN6UAd3f49N82vOpHV6ZNLVIxYcl70QWMpiWTJlWAQ6mejAYCuHPl/oRkhJrnz+SsHQ9JCUmPvAiApr5Ob1dhEMhif5AEMGQ1C2H37J4RnRHY7KUlN4wjrSILCTT1k6DqQIczEjN4wtizXOHMabanTStmc4ostcbxM//8P6AApNNTdMYsIocE75EFpNJa6d0Cjiy2eUjss4qUnafaG4s1bZY2tfSfrE3WmDi8QUYsEoAgxZRCUi1gCPbHeEjo6fH9rbr9P6LDUiJFgEbvZbWQ+fQeuicbhqRihPTg0QlINXUW7Y7wkdGTxe7vdiw5xgevmtKOK25WD+tmUoqMtfd9cncGLSISoBeFeDGpnqUO5SYrhrZ3iNMO3ra8JV6XF0VbsFUWZZ5Gm+wFY1kbUwPEpWA+NRbT38Av3j9fWx6tT0mBejxD25dltFzD3Z7lUSvxazd9Sk3ONIiMrl0eg0mEgkeHl8Q33jqADa8cmJACjDXo5hsvxb2Eiw9HGkRmVi2CyMA4xRguUOBxx9EdYUjvNZJDXDZGsWEX4sXy2PaOXEvK0oPR1pEJpbtwghAv5Bh+aza6DquSQ++hGUtB9DZ44sJWIMdJXl8QSzf3hb3WtpYQEFpYdAiSkGyD+xspb3iZbswAtAvZLjnpmuxYkBAuRIcs7JFicvgtaS4rxcRwKBFlFSyD+xsfKDHP18kAPZ6A1g+qzbm94Mt79brqlFZZrBRpPPKBouD3qLEa1Cq7uVIi1LHoEWURLIP7Gym8OID4LKWA1h4w1ismj0h7b2wEokvZEi29ikbIz5FAR5ZEN92qR6KQNZGplT8WIhBlESyD+xspvD02i2t2NGGxxdNx32zJqC9o2dQRRhGkrVQGuwWJQBQZrehymXHhi9PxYhPlOFynx+VLjvOXurDULcDVWUOFmRQUimNtIQQK1I5RlSMko1Ckv0+nfkuowBYVebAp773Appbj6LPH8rGy4qRrBFvNkrhFUWgqsyBT5Q7cO6jPnzr6bfxl//8EtY+fwTd3gD6A0wTUnKppgeX6By7J4vnQWRayT6wE/0+3fkuowDY3tGTlTVTiQJoorVPmXaXj6coAiGJAftmrd55GKHsx2IqQgn30xJCNAH4XwBuBvCa5ldVAIJSytm5Pb3McD8t68lmZ/FcSHZ+Rr/v8QawdNv+hPtIxT9P/LqsjU31qKlwos8fGtR1ycWar4zOI8V9s6jkpPTmJ0tG/xHAeQBXA/g3zfFuAIczOy+iWGb5ME0kWSsio98nmu8KSTkgACZqUVTpGlzdVDrbk+RSpIpwwPyYN4jKMk6zU2IJ/xVIKT+QUv5WSjlTSvk7zX9vSykD+TpJKm65WEBrFkbpvtOdHsN0Ya5aFOVizVem57GpqX5AFWG+z4OsKdVCjLuEECeEEB8LIS4LIbqFEJdzfXJUGszyYZoLevNdjyyow4Y9x/MeoI06YfTmYFF0IuHRpCtufoytnCg1qY7FfwTg/5FSvpvLk6HSlI1yarMakO7zBvHgriNoPXQueptcBmjtXBsksHnRdHzz6bfx1qkuLJ9Vi4U3jMWylgN5T8tmu/M7lY5Uk+QXGLAoV4p9fyRtug8CuHDZG/P7XG1gOKBysWU/fMEQnrwnPMK59+ZrsWKHcesmIjNKWD0YvZEQGwH8BYBdAKL/4qSUz+fu1DLH6kHrMXv1YLbks+gkWeUiq/jIZLJSPRgxBIAHwO2aYxKAKYMWWU+ppIuytYFhKkE+2VxhMadlqXilmh5UAPyTlPJeKeW9AFbl8JyIYuSqg3qhpFMdqPfaU12wnLSfYJGnZak4pZoePCilnJbsmFkwPVg8rLCGazASjZiMXnuFy4av/SL5guVUrl2ppGXJElL6Hy/VoHUIwOeklJfUn6sB/E5KOWVQp5gjDFrFI92OElaSLKgYvvbFDaj/wcspzUUxKJGFpPQ/ZqrpwX8D8EchxL8IIX6AcKeMH2V6ZkSpSmcNl5nSiKmcS7JF1Yav3WVLmPbTSnehspmuIZGelIKWlLIFwHwAFwBcBHCXlPKpXJ4YEZB8XiYi2xsxDkaq55JqoYRWpN1RLuaiEp03gxmZRUrpQatherB4pDqnZaY0YqrnkrQkPcFrB5D1tF+idGSfOiosxnlFMo2slrwTFUSqJeJmagWV6rkk23gx2WvP9hKBROnIpS37C95olwhIfU4rbUKIMiHEm0KIQ0KIo0KI/60ev1YIsU/tZfiMEMKpHnepP7ervx+neay16vFjQog5uTpnMqdU5mVSTSPmQ6rnksoeVblqnpvWeXuDpvmDgChnQQvhzhmzpJRTAdQDuEMI8WkA6wH8u5RyAoBLAL6m3v5rAC5JKWsB/Lt6Owgh/hrAQgCTAdwB4P8TQvBfC8Uw05qjdM4l1aCUjzklo/NWFJjmDwKivMxpCSHcAP4A4FsA/gvAX0gpA0KImQCapZRzhBC71e/fEELYAfwPgGEAvgsAUsqH1ceK3s7o+TinVZrMVN6dzXPJ51o1vfMGUNRr5cg0Cj+npY6IDgCoBfAYgPcAfKTZi+ssgGvU768BcAYA1ID2MYAa9fifNA+rvQ9RlJlaQWXzXPK5eaPReWej9RRRNuQyPQgpZVBKWQ9gNIAbAPyV3s3Ur3r/AmSC4zGEEMuEEPuFEPsvXryY6SkTmY4ZikzyObdGlEhOg1aElPIjAL8F8GkAV6npPyAczCIbC50FMAYA1N9/AkCX9rjOfbTPsUVK2SClbBg2bFguXgZRRuLno4LBUFrzU9ksMuF6K7K6XFYPDhNCXKV+Xw5gNoB3AewF8CX1ZksA/Fr9vlX9GervX5XhCbdWAAvV6sJrAUwA8Gauzpsom4wW7P7stZMpL4JOtbAjWUDi4mEqBjkrxBBC1AHYBsCGcHB8Vkr5AyHEeAA7AFQDOAhgkZTSK4QoA/AUgGkIj7AWSilPqo/1AICvAggAWCmlfDHRc7MQo/iYqcgiHUYLdpsbJ2POo7+P/pxsfirZ60+lWMPoXJ68pwG9Xi4epoIrbCGGlPIwwgEo/vhJhOe34o/3A1hg8FjrAKzL9jmSNVi507vRfFTt8MqYn5PNTyUr7EilWMPoXEIh5K3Qg2iw8jKnRTQYyRrLmpnRfFR7R0/Mz4Nd85RKsYbRubhdhS/0IEoVgxaZnhmq5zKlNx+1cWE9dr9zPquLoFMp1jCaG/N4zdNNhCgZNswl0zNTM9xMxM9HldsV9AVCWZ2fSzWFysXDZGLZ2wTSahi0iouV57RSka0ik8E8jlULXaioMGhRcQiFZPiD1GWDxxuEogBl9uL4UC32gEyUhqzuXExUENG1RS3q2qKW/ej1Fs9ci5WLTIgKgUGLTK3YP9TTLTLhImAqdQxaZGpWrhyMpw04Hl8APf3hvtGvrPosGqeOit7u+nHV6PcHBwSnRB0tiEqF+UuvqKRFSrm1lYORcmwrVA5GaOeuRgxx4f45k7B65+HoPNYjC+qgCODCZS82L5qOXm8Ay7e3xcxzVbhsXARMJY8jLTI1M23uOBjaNOe3PleL1TsPx6Q8V+88jIfmTcHWJQ2wKQqWb28bkBINhVA0o06iTPHPMzI17Zb0VinH1isf16Y5a4dX6gcflw2KEAhJafj7Yhh1Eg0GR1pkelbay8lo3qnff6XrRHtHT8IOFEbdLf58qQ/r59dZftRJNBhcp0WURYbdOxY3oE9NEerNaW1qmoZqtwN9gRDKHQo6e31YoZnTWj+/Dj9++RgAYM0dk/CJcmd03Zrbae6RJ1GKCtvlnagUGVY7usIpwkias98fxNbFDeHAo7Z26vL4o4uMl8+qxU/vnoHKMjtOd3rw45ePofXQOTROHQUJYGnLfi5GppLE9CBRFiVqXKtNc7qd9itzXk7bgPVoG145gW88dQAebxAVLjsudnthVwRW3TZxQBFHMa1bI0qGQYsoi9LZZVg79+V22g1HaJFClOPr5mJsjZsVhFTSmB4kyqJUqx3jN22MFGdEfm6cOgqrbpsYva3bEa4s7PEGWEFIJY0jLaIsS6XaMX7u67G97dHKwHn1o/CdOyZh7fNHBnS+KJZ1a0SZYvUgUQHoVRmumj0B9958LQSApS0HDPcP4zYiVKTY5Z3IrPRGTE03fjK8ENllML+lzltZad0aUbYxCU5UAEZzXx5/EB92ezlvRWSAIy2iAtEbMbmdNjz6ynGdzhf1nLciAkdalEeci0nO4wviwmUvfvzyMTQ3Tkbt8Eqc6fKggmlAIgAcaVGe5GMvqEJukJit547MdV3s9uLzm17Doif2ocJlR5mdoywigNWDlGVGoynDnnxZ2gtKu19VvtsbZfu5OSKlEsXqQcqvRKMpo5585Q4lKyOU+DZI+WxvlO3nZnUgkTEGLcqaRB/eej35ls+qzVrK0LBRrU57o0xSeYnu43baMGKIC7tX3oL3fngndq+8BSOGuNhaiSgHGLQoaxIFDr11SffcdC1W6OzQm8kIJVGjWq1M5taM7hMIhNDd7wcA/OCL12H3O+cx6cEX0dx6FPfPmYR+NrElyjoGLcoao8DR0x8AgJjGr1uXNKCyLPEiWq1ko6NU2xtlksrT3ufOKSPR3DgZQ8sd6PL4sKzlACY+8CK+8dQBzJs2GndOGYk3TnZi9c7DCIXSunxElAIGLcoat8OGjU31MYFj/fw6/OL19+HxBwfM1WRzdKRdrBsJinqFEOmkEePv0zh1FO6/fRKaW4+ixxfAih2xo8Q1zx3GfbfWXnlMF9ODRNnGoEVZEwkczY2TceyhuWhunIwfv3wMm15t1w0K2R4dpVLAkGqg1LvPfbfWYs1z4b2shpQ7dINf7fDKlB6TiDLDxcWUVX3+EJpbjw4obddrQZTqNh6ZjI6MRAJlfHl6om4TkftUVzij53G5z6/baqm9owczx9dgIztYEOUER1qUVelunZGr0ZGRVNOIevfx+ALR89h18M/YuDA2FbqxqR61wyrw07tnoMad+/VhRKWIi4sp67K9OLaQC4cTncf/21SPmycMQ4XLjl5vAOUOG/oDIS4GJspMSv9oGLTIEvLZJSLRc7FbBVHOpPQPiXNaZAmRNCKAnG7PkWxUl6/zICJ9nNMi0ihkOygiSo5BizJSyI7quZTNSkUiyj4GLUpbPrYZKZRsVioSUfYxaFHarJpCS2V0mG7JPhHlF2eSKW1WTKEFgyF0enxYsb0tYdm8oghUux3YsnhGtJSdFYJE5sGRFqXNKim0yMgqGAqh1xdMqaN8KCTR5fFHG+EuazmALo+/KFKfRMWAQYvSZoUUmnberb2jFxWu2I7yjVNHoblxMtxOW0yq0KqpT6JSwfQgpS3VnoGFpA0+tcMr0d7RE+0VGOnWvua5wwNShVZMfRKVEo60KCPxPQMBFLwEXltooQ0+7R092P3OeayfX4eZ42tiurWnssOyGVOfRKWKQYsGzQwl8PHncLrTEw0+j+1tx7xpo7Hr4Fk0N07GhBGVae2wbLbUJ1EpY9CiQTPDPFD8OWzYcxyPLAiPrF44ch5Hz32Ee266FrXDK6PbimhFRlOZdIEnovzhnBYNmhnmgeLPofXQOSgC2Lq4AW6XDZf7/PjGUweic1rr59cNmNOKjKbYX5DIvPgvkgYtMg8UvyGixxsEBAZVpJFqV3W9c7hw2QsAOHGhB7XDr6QEWw+dA4BoqtCMhSREpI/pQRo0vXmgRxbU4cFdRwY1v5VsrkxbeAEJbF40fcBclKIAu985j57+QExKsPXQOTS3Ho3uqMyARWQN3E+LskI7Ijrd6cGGPcejI5qZ42uwdUlD2qm2Hm8AS7ftjxk9zRxfE075OW3o7PVh+74PMOe6kagdXolebwBOm4DTcWVUBgCdvT7sP9WJ6Z+sxsodiTtiEFHBcD8typ/IPFBISsze8DsENCOrTOe3DOfKXDZ4vEFs3/cB5k0bHTc3VY8KxKYkayqc+MzE4Sh3KNH2TEwJEllTztKDQogxQoi9Qoh3hRBHhRAr1OPVQog9QogT6teh6nEhhNgkhGgXQhwWQkzXPNYS9fYnhBBLcnXONHjZXOdk9FinOz1wu2yYc91InfVWbei47I1JI0YCqk1RUFXmiK4tY8Aisp5czmkFAHxbSvlXAD4N4D4hxF8D+C6A30gpJwD4jfozAMwFMEH9bxmAx4FwkAPwfQA3ArgBwPcjgY7MJ5vrnMKPVR/zWOvn1+HRV47D4w3GFFdEvHWqC2Oq3dGS+2Ld94uoVOUsPSilPA/gvPp9txDiXQDXAPgigM+pN9sG4LcA1qjHW2R4ku1PQoirhBAj1dvukVJ2AYAQYg+AOwBsz9W5U+ZSafGUakWgoghUuOx4+K4pGFPtRntHD3788jFc7PZCEUCvN6Bbtdje0YO3TnWh3KGgs9eH5dsPch6LqEjkpXpQCDEOwDQA+wCMUANaJLANV292DYAzmrudVY8ZHY9/jmVCiP1CiP0XL17M9kugNMS3eIoPWOl0zyiz21DhsmPRE/vw+U2v4WK3F48sqMP3/uMIXm+/iI06I7HH9rZHU5KFXvRMRNmV80IMIUQlgOcArJRSXhbC8C9cvV/IBMdjD0i5BcAWIFw9mNnZUq5pO1cAiAYSo+rC+JHb6U4PfvTSMbQeOoddbeewavYEbL57BqrK7GrVYngktqmpfkBnd4DNb4msLqcjLSGEA+GA9Usp5fPq4Qtq2g/q1w71+FkAYzR3Hw3gXILjZEGZdM/QdqiYveF30VJ6ANj0ajuqyuwIhSSucjvwb1+ux8N3TUGF0w6Pl81viYpNLqsHBYAnAbwrpdyg+VUrgEgF4BIAv9YcX6xWEX4awMdq+nA3gNuFEEPVAozb1WNkQZlWF4ZCMjqHFX/fy31+/OU/v4RvPf02zn/ch6vcDjzx2kk8uOtItP8gm98SFYecLS4WQtwM4DUARwCE1MPfQ3he61kAYwGcBrBAStmlBrmfIFxk4QFwr5Ryv/pYX1XvCwDrpJQ/T/TcXFxsXpE5rXSKI0Ihie5+Pxw2Bb2+AJZvv7JAeP38Ooy6qgy1D7wIILz4eMOXp2Lmv74KILzZ46rbJmJsjZtrs4jMLaV/mOyIQXmXqHpQ73f9gSC6en1YvfMwRgxxYeXscBD686U+/MfbZzHnupGY8+jvAQB2ReDYQ3Pxqe+9EH0+uyJwfN1cKMbzqURUeCn9A2XvQco7o+rCRJWFzx8I74X1b1+uhzcQwk9+cwLBkMRdM0bjsb3t0ce+flw1znR5Yp6P81hExYNBi0zDaF+uMocNS/4mvBdWZBfiedNGY0x1Oa4qd+Bit1czZ1WPoW4H57GIihR7D5JpxFcWNk4dhdVzJkFRBC55fPh+6zu4cNmL9fPrsOvgWSz+m3GwK8qAhcwAEi5uJiLr4kirxJmpzZG2srBx6ijcf/skfOdXhzHxgRex9vkjWHXbJAyrcmHNc4cx57qRqCpzwO2yDUg1JlrcTETWxpFWCcukki+X3A4bNi+ajkseP66udGFpy/6YRchrnjuM5sbJ+Pym11A7vBJnujy4usrF3YWJSghHWiXMaA6pkG2OfMEQ1j5/BOUGi5Brh1fi+nHV6PEGcJXbwbkqohLDoFXCMulOkUvhINqGN052or2jR3ch8ZkuDzY21SMQDKKqjKk/olLDoFXCsrn31WBE5tW0QfSxve1YPz++m0U9HDaBh/7zXfzD/2lDnz+U5JGJqNhwMqCERfa+ip/TymfKTTuv1tw4ObrVSKS/4MN3TcHYGje6+wLY9sf3senV9oKcJxGZAztilLhU97bKlR5vAEu3hQsuIhWDa547rAmi4W7tLrsCjy+ICpedZexExYltnCh9uQpieo8LhFOU5U4b2jt6op0t7ru1FhNGVKKnP4AKpw02G7PYRCWAbZwoPelu0JjO43b3+/FhtxdSAh92e9Hd70d3vx9LW/Zj0oMvorn1KO6/fRIAoLn1KC73+fGNpw6gL8B5KyK6gnNaFJXuBo2p6g8E0e0NYO3zR6Jpv0cW1MFhUwasw3r4rinRRcHcsJGI4nGkRVG5KoEPhYDVOw/HrAdbvfMwKpyxgfCtU10YW+PGroNn8d7FXja6JaIBGLRKRCrtmgxL4L3BQbV4crsMgqErNhheP64apzs9mDdtNHa/c54VgkQ0AINWCUh1ripSAq9dG/XIgjo8uOvIoOa34re9b5w6Cq+s+iwA4Lf3fw7z6kdF12ENr3LhmqFl+OpnxhesnRQRmRerB0uAtqw8Yub4muhclbayr98fRCgUHh2d7vRgw57j0TVT2vukIxw0vVi+vQ0jhrhw/5xJWL0ztqy93GHHc2+fwd0zx3GzRqLSlNI/fBZilIBEc1VGTXPLnQpmb/gdApqRVabzW4oiUOG04+G7pug2wl2+vQ0P3zUFn504HB5fkA1wicgQ04MlIFG7JsOmuYNs8RQ/h1bmtGH2ht8ZNsIdU+3G2Bo357CIKCEGrRKgN1cVKXIwGoVVuOyG90kmMnr72WsnceJCD8psCnq9ARxfNxe93oBhI1yPN8g5LCJKiHmYEqAoAjUVTt3dfHvUIKKd74qMqIzuE2HUPcPjD2L/qU589ebxUARwqc+H5dvb8NapLiyfVYuNC+uxYkdbzJqtKpeda7KIKCkWYpS4TDeC1BZXaAsqaipckJC43B9ArzeAQFBi7fNHYoLiqtkTcO/N14b7CHqDUBSgzM5egmiblkoAABGhSURBVEQljr0Hi1W2+wNm8ng9/YGYggpArS5c3AAJic4eH9Y+fwRPf/1GTHrwxZiCDrsicHzdXECCgYqIIth7sBjlqj9gKs+rLawodyqGC4YrXHaMqXbjrVNdhps59noDDFhElDYGLYsxrPbzZ9buKJUgaHSb5bNqYx4r0j3D4wviTJcH14+r1t3McePCelYJElFGmB60mJCUmPiAfrotk0W5yRYeJ7rN5rtn4JtPHYjOaW1cWI8hZXY47bZwF3dvAKt3HsaIIS6snD0RY2vc6PUG4HZwuxEiGoCLi4tRZP2UXrVfJotyU2mSa3SbqrLwguEx1W6c6fJAUQBvIASn3QaHXYEjoGDr4ga4XTb8+VIffvKbE/jqZ8YzYBFRxhi0LCay5iq+2i/TdFsqQdDoNqc7Pfjcj38bPTZzfA0evmsKbDYFbocNvSKIpS37s3KeREQA04OWlM3qwVRK3vVvU491//UudrWdiz6WXRE49tBcCAEoQuRsF2QiKkpMDxYrRRHRUdBg+/QlWngcf5sti2egwmlHd38A/YEgLlz2xjxWpLPF1VUuVLrsWT1PIiKA1YOEK0EwsmOw3mhIUQTcThtOdPSgwmVDhdOGTU31A7YxGep2MAVIRDnDP38phlFKL5IibG49eiVFuLA+3AWj0gWPN4heXwAOm8IUIBHlDEdaFJVozZbHH8SK7W2x68N2tMFpt2HVM21Y2rIfAoDLzv+liCh3ONKygHwVNGgXLgPhva627/sg2ifQqOx9w1fquf6KiPKCnzAml8+2TfHrsRqnjsK8aaOxrOUATlzQb8fk8QWhCIGqMgcDFhHlHD9lTC7bbZsSPlfcxo/33VqLNc8dxhsnO3XbMXHdFRHlG9ODJpdKx4qsPZfDhs2LpuOSx48x1W70+YIYMcQFAGg9FF6P1dw4GRNGVHLdFREVBIOWyaXbtmmw81++YAhrnz8Ss0FjSIaDVuuhc7jY7Y3pS0hElE9MD5pcpG1TKmm5wc5/hVORsRWCq3cexqrbJjIlSESmwDZOFpDq6CmVju0JnydBB3kATAkSUS5xE8hiodexIn5TxlBIDnr+K74QA4itEDTqlkFElC8MWhZklAbs9xsHnVSkk4okIioEpgctyDANuLgBfWqJ/FunurB8Vi3uuelaVJbZo6k9QE3zuWzweINQFKDMbovp6M7O7ERUAOzyXqwM04AuG9xOG7YuaUC5Q0Fnrw/f0OwsvKmpHk6bgm8+/XZMdWCVy46qMgcURbAzOxGZGtODFpRw7kkNOn3+0MBegdvbcMnjH1AdeMnjz8liZSKibGPQsoD4ootyu5J07sloNDam2q17LBeLlYmIso35H5Mz2jW4wmnHz+9pQCAk4XbZ4fEG0R8IRuenjBYln+nyxDx+/MaNRERmxpGWyen3HmxDR7cXl/sD+Nkf3g9XELbsR1evD939/nD5u24lYD2Guh3cuJGILIvVgyZntOD32ENzseiJfWhunIw5j/4eQLiC8OG7pkRHTXqVgEDi6kEiogLh4uJiYFR00d7Rg7dOdaF2eGX0ePz8lN6iZEURqCxTj5XZ4XZywTARWQeDlsnppfnWz6/DY3vbo8ErIjI/lepiYiIiq8nZzLsQ4mcAvgCgQ0p5nXqsGsAzAMYBOAXgy1LKS0IIAWAjgDsBeADcI6V8W73PEgAPqg/7kJRyW67O2Wwi6b2aSie2LJ4Bt9OGM1192LDnGC52e7FxYT12vHkadkXErLni/BQRFauczWkJIW4B0AOgRRO0fgSgS0r5r0KI7wIYKqVcI4S4E8A/Ihy0bgSwUUp5oxrk9gNoACABHAAwQ0p5KdFzF8OcVqKqwTKnDb3eAMrtNvQHQpyfIqJiUNg5LSnl7wF0xR3+IoDISGkbgHma4y0y7E8ArhJCjAQwB8AeKWWXGqj2ALgjV+ecbXpNbVO9X68vYFg1OPGBF7Gs5QAu9fnhdto4P0VEJSPfc1ojpJTnAUD9Olw9fg2AM5rbnVWPGR03vUz3torcz+20Gy4OvhLEDrKTBRGVFLMUYugND2SC4wMfQIhlQoj9Qoj9Fy9ezOrJZUJ/fVXyIBO5X3tHj2HVYEQ6244QERWDfAetC2raD+rXDvX4WQBjNLcbDeBcguMDSCm3SCkbpJQNw4YNy/qJpyvTva0i93tsbzvWz68bsBD4sb3t0dums+0IEVExyHffnlYASwD8q/r115rj/yCE2IFwIcbHUsrzQojdAH4ohBiq3u52AGvzfM4ZMWqj5PEFE7ZLityv9VA4Njc3Tkbt8Er0eAPw+YO42O2NVgtubKpnpSARlZRcVg9uB/A5AFcDuADg+wB2AXgWwFgApwEskFJ2qSXvP0G4yMID4F4p5X71cb4K4Hvqw66TUv482XOboXpQv/pvGmoqnAmLJfTuFyltP/lhL1bOnoixNW78+VIfRl1VBptilgwvEdGgpFRFxjZOOZTphorx97ML4H8uezGm2o32jh48trcdF7u92LqkgU1uiahYcBPIQst0Q8X4+4VCEhUuOxY9sS9m1MbUIBGVGgYtC1AUgZoKJ7YuaUh71EZEVEwYtCwi01EbEVEx4Sx+gWXaNYOIqBTxT/YcS1SMkWmFIRFRqeJIK4dCIYnufj8+7PZCSuDDbm90Z2Eg864ZRESliiOtHOoPBNHtDWDt80eiI6lHFtTBYVfgdtoz7ppBRFSqONJKYLDzTaEQsHrn4ZiR1OqdhxEKhX9vtCsxWzMREelj0DKQaZd2LbfLYCTlCo+k9HYl5vorIiJjTA8a0M43AYjON6XThcLjNeg/6A2isszO9VdERGli0DKQjfmmcoeCn949AxUuO9o7erD7nfNounFszGNw/RURUer4KWkg0y7tEaGQRJfHH9v4tqkeQ8tZzk5ElCnOaRkY7HyTXjn7iu1t8PiDXEBMRJQhjrQMDHa+ySi9WOGyw+NPbbRGRESxONJKIDLfpAj1axppPaNy9vaOHq7DIiLKEIPWIIVCEj396lqu/gA8vvB6LrfDho1N9THpxfXz67D7nfNch0VElCHmqFKk10MQADp7vVi+vS2m40WVy46qMgdq3M6Y6sFdB8+i6cZPch0WEVGGuHNxCowa25Y7bFjasj+mwnDm+Bo8fNcUXF3lim7gmMnuxUREJSalD0amB1Ng1NjWqOPFmGp3dN5qMPNiREQUi0ErBUaVgJGOF1rXj6vGmS4P562IiHKAQSsFRpWAigJsiiu2eGRBHYa6HZy3IiLKAc5ppSDRZo1AOKi5XTZ4vEEoClBm57wVEVGaUvrQZPVgEpFCiuoKB7YsDlcCxhdUVJbZY74SEVFu8FM2gUQjLI6kiIjyj3NaCRhVDXr8LLIgIioEBq0EsrE9CRERZQ+DVgJGVYMsZyciKgwGrTihkESPN9xLEBLYvGh6xtuTEBFRdrEQQ0O/8KIeT97TgDIH2zARERUaR1oa+oUXbQhJsA0TEZEJMGhpsPCCiMjcGLQ0WHhBRGRuDFoabocNm5qmsfCCiMikWIihoSgCNRVObF3SwP2viIhMiEErTmT/KwDRr0REZA5MDxIRkWUwaBERkWUwaBERkWUwaBERkWUwaBERkWUwaBERkWUwaBERkWUwaBERkWUwaBERkWUwaBERkWUwaBERkWUwaBERkWUIKWWhzyHrhBAXAXxQ6PMokKsBfFjok7AoXrvB4fXLHK8d8KGU8o5kNyrKoFXKhBD7pZQNhT4PK+K1Gxxev8zx2qWO6UEiIrIMBi0iIrIMBq3is6XQJ2BhvHaDw+uXOV67FHFOi4iILIMjLSIisgwGLQsQQvxMCNEhhHhHc6xaCLFHCHFC/TpUPS6EEJuEEO1CiMNCiOma+yxRb39CCLGkEK8l34QQY4QQe4UQ7wohjgohVqjHef2SEEKUCSHeFEIcUq/d/1aPXyuE2Kdeh2eEEE71uEv9uV39/TjNY61Vjx8TQswpzCvKPyGETQhxUAjxn+rPvHaDJaXkfyb/D8AtAKYDeEdz7EcAvqt+/10A69Xv7wTwIgAB4NMA9qnHqwGcVL8OVb8fWujXlodrNxLAdPX7KgDHAfw1r19K104AqFS/dwDYp16TZwEsVI9vBvAt9fu/B7BZ/X4hgGfU7/8awCEALgDXAngPgK3Qry9P13AVgP8D4D/Vn3ntBvkfR1oWIKX8PYCuuMNfBLBN/X4bgHma4y0y7E8ArhJCjAQwB8AeKWWXlPISgD0Aki7kszop5Xkp5dvq990A3gVwDXj9klKvQY/6o0P9TwKYBeBX6vH4axe5pr8C8LdCCKEe3yGl9Eop3wfQDuCGPLyEghJCjAbweQBPqD8L8NoNGoOWdY2QUp4Hwh/MAIarx68BcEZzu7PqMaPjJUNNuUxDeMTA65cCNb3VBqAD4UD9HoCPpJQB9Sba6xC9RurvPwZQgxK9dgAeBfAdACH15xrw2g0ag1bxETrHZILjJUEIUQngOQArpZSXE91U51jJXj8pZVBKWQ9gNMJ/4f+V3s3Ur7x2KiHEFwB0SCkPaA/r3JTXLk0MWtZ1QU1bQf3aoR4/C2CM5najAZxLcLzoCSEcCAesX0opn1cP8/qlQUr5EYDfIjyndZUQwq7+SnsdotdI/f0nEE5rl+K1uwlAoxDiFIAdCKcFHwWv3aAxaFlXK4BIBdsSAL/WHF+sVsF9GsDHavprN4DbhRBD1Uq529VjRU2dF3gSwLtSyg2aX/H6JSGEGCaEuEr9vhzAbITnBPcC+JJ6s/hrF7mmXwLwqgxXE7QCWKhWyF0LYAKAN/PzKgpDSrlWSjlaSjkO4cKKV6WUfwdeu8ErdCUI//v/27ufEKvKMI7j3x+EWiqEizaByFhaLmSEaIhEWshEQ3+IiCFQ0IkioiDEUJi4iEGKLtxkMLt2gw0kTJu03Fgy/oFxmgw0h8pAXCSzyWlhi6fF+1y6yHX+2L13PPT7wOHeOeed957zwtznvued+zxzb8AwcAP4m/LJ603K/e5TwNV8XJVtBRylrD38CDzV0M8AZSF3Cti52NfVobHbTLmdMglM5Nbn8ZvX2G0ELubYXQJqub+L8sY5BYwAS3P/svx5Ko93NfQ1mGN6BXhhsa+tw+P4HP/+96DH7j9uzohhZmaV4duDZmZWGQ5aZmZWGQ5aZmZWGQ5aZmZWGQ5aZmZWGQ5aZvcJSS9L2jvL8W5JfW18/X2Sdrerf7NWcNAya4P8cvKC/r4iYjQiDs7SpJvyHbOFnMcDc7cyqw4HLbMWkbQm63Z9BowD2yWNSRqXNJL5D5HUJ+mypO+zdle91tIOSZ/m89clXcpaVqez7tJ+oF/ShKR+SctVaq1dyJpNrzT0MyLpK+Bk7vsw203W62Ll/sGs0/QtsL6T42V2L/wpzKy11gM7gRrwJbA1ImYk7QF2SToEDAFbIuJXScN36acGPB8R1yU9HBG3JdUoGTreA5D0CSXdz0CmWzqfwQfgGWBjRExL6qWk/3makvFjVNIWYIaSYmgT5b1gHGhM8Gp233HQMmutaxFxNrN8bwDOlPSHLAHGgCeAX6LURoKSouvtJv2cAT6X9AUl+DXTS0nKWl+HWgaszuffRMR0Q7teSkomgBWUILYSOB4RfwFIGl3oxZp1moOWWWvN5KMogeONxoOSNs2nk4h4R1IPpYjghKTuJs0EvBYRV+54jZ6G86i3OxARQ3e0+4D/eZkLqx6vaZm1x1ngWUmPAUh6SNI64DLQlQUpAfqb/bKktRFxLiJqwE1KeYo/KbOjuhPA+5nJfraAeAIYaFhTe1TSI8Bp4FVJD0paCbx0z1dr1iGeaZm1QUT8IWkHMCxpae7+KCJ+lvQu8LWkm9y9zMRhSY9TZkmngB+A34G9WUn4APAxpUbTZAau34AXm5zLSUlPAmMZ324B2yJiXNIxSub7a8B3Lbh0s7ZylnezDpO0IiJuZaA5ClyNiCOLfV5mVeDbg2ad91bOln6iVKgdmqO9mSXPtMzMrDI80zIzs8pw0DIzs8pw0DIzs8pw0DIzs8pw0DIzs8pw0DIzs8r4B1qsya5j6eBUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4bdcf198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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mAjdGxNqIOKbZVktoZibZtXsve2dmDqwbGx0hE/b1rZtL23bD1OfuvTO86+rbuXn7Tk7ZtI4LzzmRo566ylCSFtDlCOmAiNgEvBi4adZLxwI/6Fu+t1lnIC2xqb3TPDy19wnr1o6P8MisdXNp226Y+rzgmju44Z4dANxwzw7Ou2orl5w7wZpVS/IrJy1Lnf92RMQa4HPA+Zn549kvz7HJkw5+RMRmYDPAxo0bD3mNgvGVo2xYN/6EdRFwxOqxRbdt226Y+rx5+84nLY+vHG313tKw6jSQImKMXhh9KjOvmaPJvcCGvuXjgB/NbpSZW4AtABMTEy3PAOhgTD0+zUO79jxh3drxsZajhHbthqnPUzatOzBC2r889fi0IyRpAdE7fdNBxxEBXA7szMzz52nzGuAdwBn0JjNcmJmnLtTvxMRETk5OHupyh57nkA5tn55Dkp6g1Q9+l4H0CuAbwB3A/t/WPwc2AmTmxU1oXQScDkwBb8nMBdPGQOqOs+wObZ/OspMOaPXD3+Usu28uVkQzu+7tXdWggzMyEoyv9JDSobZmtftUasMrNUiSSjCQJEklGEiSpBIMJElSCQaSJKkEA0mSVIKBJEkqwUCSJJVgIEmSSjCQJEklGEiSpBIMJElSCQaSJKkEA0mSVIKBJEkqwUCSJJVgIEmSSjCQJEklGEiSpBIMJElSCQaSJKkEA0mSVIKBJEkqwUCSJJVgIEmSSjCQJEklGEiSpBIMJElSCQaSJKkEA0mSVIKBJEkqwUCSJJVgIEmSSjCQJEklGEiSpBIMJElSCQaSJKkEA0mSVIKBJEkqwUCSJJVgIEmSSjCQJEklGEiSpBIMJElSCQaSJKkEA0mSVIKBJEkqwUCSJJXQWSBFxCci4oGIuHOe10+LiEcjYmvzeF9XtUiS6lvRYd+XARcBVyzQ5huZ+doOa5AkLROdjZAy8+vAzq76lyQdXgZ9DumlEXFbRFwXES+Yr1FEbI6IyYiYfPDBB5eyPknSEhlkIN0KPCMzXwR8FPi7+Rpm5pbMnMjMifXr1y9ZgZKkpTOwQMrMH2fmY83zLwJjEXH0oOqRJA3WwAIpIn4lIqJ5fmpTy45B1SNJGqzOZtlFxFXAacDREXEv8BfAGEBmXgycBbwtIvYBPwXOzszsqh5JUm2dBVJmnrPI6xfRmxYuSdLAZ9lJkgQYSJKkIgwkSVIJBpIkqQQDSZJUgoEkSSrBQJIklWAgSZJKMJAkSSUYSJKkEgwkSVIJBpIkqQQDSZJUgoEkSSrBQJIklWAgSZJKMJAkSSUYSJKkEgwkSVIJBpIkqQQDSZJUgoEkSSrBQJIklWAgSZJKMJAkSSUYSJKkEgwkSVIJBpIkqQQDSZJUgoEkSSrBQJIklWAgSZJKMJAkSSUYSJKkEgwkSVIJBpIkqQQDSZJUgoEkSSrBQJIklWAgSZJKMJAkSSUYSJKkEgwkSVIJBpIkqQQDSZJUgoEkSSrBQJIkldBZIEXEJyLigYi4c57XIyIujIhtEXF7RJzUVS2SpPpWdNj3ZcBFwBXzvP5q4DnN49eBjzdfOzMzk+zeNw0JIwEz2W67tm2Xe58zCeOrRpnaM834ylFGRqLdG0taVvo/C/vN/mxY6s+EzgIpM78eEZsWaHImcEVmJnBjRKyNiGMy874u6pmZSXbt3svemRnGRkfIhH0zM4tu17btcu9z994Z3nX17dy8fSenbFrHheecyFFPXWUoSYeZ/s/CfrM/GwbxmdDlCGkxxwI/6Fu+t1nXSSBN7Z3m4am9AKwdH+GR5vli2rZd7n1ecM0d3HDPDgBuuGcH5121lUvOnWDNqkH+iEg61Po/C/vN/mwYxGfCID9t5orZOQ84RcRmYDPAxo0bf643G185yoZ1401/cMTqsXZFtmy73Pu8efvOJy2Prxxt9d6Slo/+z8J+sz8bBvGZMMhAuhfY0Ld8HPCjuRpm5hZgC8DExETLMypPNPX4NA/t2gPA2vGxgxh5tGu73Ps8ZdO6A38N7V+eenzaEZJ0mOn/LOw3+7NhEJ8J0TuF01HnvXNIX8jME+Z47TXAO4Az6E1muDAzT12sz4mJiZycnDzoWjyHtHA7zyFJw2FA55BabdRZIEXEVcBpwNHA/cBfAGMAmXlxRAS9WXinA1PAWzJz0aT5eQMJnGW3WDtn2UnDYQCz7Fpt2OUsu3MWeT2Bt3f1/nMZGQnGV3oIajFrVruPpMPZwX4WLtVngldqkCSVYCBJkkowkCRJJRhIkqQSDCRJUgkGkiSpBANJklSCgSRJKsFAkiSVYCBJkkowkCRJJRhIkqQSDCRJUgmd3g+pCxHxIPD/foEujgYeOkTlLKXlWPdyrBmseyktx5phedY9yJofyszTF2u07ALpFxURk5k5Meg6DtZyrHs51gzWvZSWY82wPOteDjV7yE6SVIKBJEkqYRgDacugC/g5Lce6l2PNYN1LaTnWDMuz7vI1D905JElSTcM4QpIkFTQ0gRQRp0fEdyNiW0S8e9D1LCQitkfEHRGxNSImm3XrIuL6iPh+8/XpBer8REQ8EBF39q2bs87oubDZ/7dHxEmFan5/RPyw2d9bI+KMvtcuaGr+bkT81iBqburYEBFfiYi7I+KuiHhns77s/l6g5tL7OyJWR8S3IuK2pu4PNOufGRE3Nfv60xGxslm/qlne1ry+qVjdl0XEv/Tt7xOb9QP/GXmSzDzsH8Ao8H+B44GVwG3A8wdd1wL1bgeOnrXuvwLvbp6/G/hwgTp/AzgJuHOxOoEzgOuAAF4C3FSo5vcDfzZH2+c3PyurgGc2P0OjA6r7GOCk5vkRwPea+sru7wVqLr2/m322pnk+BtzU7MPPAGc36y8G3tY8/4/Axc3zs4FPD+hnZL66LwPOmqP9wH9GZj+GZYR0KrAtM+/JzMeBvwXOHHBNB+tM4PLm+eXAbw+wFgAy8+vAzlmr56vzTOCK7LkRWBsRxyxNpT8zT83zORP428zck5n/Amyj97O05DLzvsy8tXm+C7gbOJbC+3uBmudTYn83++yxZnGseSTwSuCzzfrZ+3r/9+CzwL+NiFiicg9YoO75DPxnZLZhCaRjgR/0Ld/Lwr8Yg5bAP0bELRGxuVn3y5l5H/R+0YFfGlh1C5uvzurfg3c0hy0+0Xc4tGTNzSGhF9P7C3hZ7O9ZNUPx/R0RoxGxFXgAuJ7eaO2RzNw3R20H6m5efxQ4amkr7pldd2bu398favb3f4uIVc26Mvt7v2EJpLn+Wqk8vfDlmXkS8Grg7RHxG4Mu6BCo/D34OPAs4ETgPuCvmvXlao6INcDngPMz88cLNZ1j3UBqn6Pm8vs7M6cz80TgOHqjtH89V7Pma9m6I+IE4ALgXwGnAOuA/9I0L1P3fsMSSPcCG/qWjwN+NKBaFpWZP2q+PgB8nt4vxP37h9PN1wcGV+GC5quz7PcgM+9vfpFngEv42WGiUjVHxBi9D/ZPZeY1zerS+3uumpfL/gbIzEeAr9I7x7I2IlY0L/XXdqDu5vUjaX9YuBN9dZ/eHDrNzNwDfJLC+3tYAulm4DnNLJmV9E48XjvgmuYUEU+NiCP2Pwd+E7iTXr3nNs3OBf5+MBUuar46rwX+sJnZ8xLg0f2HmgZt1nHz36G3v6FX89nNLKpnAs8BvrXU9UFvRhRwKXB3Zn6k76Wy+3u+mqvv74hYHxFrm+dPAV5F7/zXV4Czmmaz9/X+78FZwJezmTWwlOap+zt9f7AEvfNe/fu71u/koGdVLNWD3oyS79E7FvyeQdezQJ3H05tpdBtw1/5a6R2T/mfg+83XdQVqvYreIZe99P7aeut8ddI7PPCxZv/fAUwUqvnKpqbb6f2SHtPX/j1Nzd8FXj3Aff0KeodTbge2No8zKu/vBWouvb+BFwL/p6nvTuB9zfrj6QXkNuBqYFWzfnWzvK15/fhidX+52d93An/Dz2biDfxnZPbDKzVIkkoYlkN2kqTiDCRJUgkGkiSpBANJklSCgSRJKmHF4k0kHayIeD/wGPAQ8I/Z/GfnlttuAr6QmSd0UpxUlCMkqVtvBn510EVIy4GBJB0iEfGe5j4+/wQ8r1k9AXyquQ/NUyLi5Ij4WnPh3H/o+1/0Jzf3sbkBeHtfn5si4hsRcWvzeFmz/sqIOLOv3aci4nVL96+VDj0DSToEIuJkepekejHwenoXsgSYBN6UvQte7gM+Su/eNCcDnwA+1LT7JHBeZr50VtcPAP8uexfbfSNwYbP+r4G3NO99JPAy4Isd/NOkJeM5JOnQ+DfA5zNzCiAi5rpW4vOAE4Drm9vljAL3NYGyNjO/1rS7kt6V3qF3T5uLmrt8TgPPBcjMr0XExyLil+gF4OfyZ7dGkJYlA0k6dBa7DlcAd80eBTUXxJxv2/8E3A+8iN4Rjd19r10JvIneyOyPfp6CpUo8ZCcdGl8Hfqc5T3QE8O+b9bvo3b4behcMXR8RL4XerRki4gXZu1XAoxHxiqbdm/r6PRK4L3u3avgDeqOq/S4DzgfIzLs6+DdJS8pAkg6B7N2q+9P0rmj9OeAbzUuXARc3d/EcpXd7gg9HxG1N25c17d4CfKyZ1PDTvq7/B3BuRNxI73DdT/re8356t0X4ZEf/LGlJebVvaZmKiHF6tw04KTMfHXQ90i/KEZK0DEXEq4DvAB81jHS4cIQkSSrBEZIkqQQDSZJUgoEkSSrBQJIklWAgSZJKMJAkSSX8f1FW5ZE1huZzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4bdc3588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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53SXV4O98+nW0lynhVK6aiJvKH+QcgxYR5eUuzEaBY8WGQRxLZUyfazU0ZnVBLw5EndM6THs0dso0Wb1WJCJob47hzqvOwa7bL0d/72zc/ZNdOPheEqPJlOVnUy5gck+u6uDwIBHl5co8TelocXQBLjc0ZnVBj0hpsoSTtVhKKYwkjw8FtjVFTF8rk1HIKJWvrHHfi0M4fDSJ1Qu6LINLbrhxSkczHlw89/iwY3M0H3idriEjd9jTIgqJcpP8XiQB5Mo8HR2bcJSEUW5orNzQWkGyRHMM6/rOxapLZmLTygvx5jeuwAPXzEVbLFIy9PedX+wxHApcfnFnyWuNTaSzx67firNvfQa3PLkDt376Q7h7YReeem1fScV4/eeqf41l67fiyMg4vvvL32PWbc/mX7MtFnFc+YOc4zotohAo15PxKgkgoxRW/WAQX7p0Fk49qQ17jyRwz+Y3cPC9pOX5MkqZrnWKiPP2pdOZko0f1/V1o705hut0a8c2rbwQ/QM7S9aSPXDNXAyPjucXIJ8Yb0IsIliqS3fPHXvnVeegvSVm2haz9Wr9vbMx/56f5//90JKefI+L67hc4Totonqh78kAyPdkcuuTyn3frrGJNG6cPws3Pb69JFi0WlyAy5WHclrK6VgqgxVG67EWzy0Y+jOb/+pojeH6R49nH/7T387BtEnGQ54zpsQBBdO2mA1tdk7rKPh3bqjTaeUPcobDg0QhUG6Sv5IkAP2wYjqjcNPjxZl7g8hYXNQBe0VxnWyyaPp+WmIFQ39me23tPZIoeA9femwbxiYy2LzqE+idM73g2MR42rItZkObQ4dGSs5D/mPQIgqBsunWLjd3LJ6viTeXLr7NBgvr4Gcnq8+JRNL4/Rz80xiW/B8fyAfHTb89ULI/2Lq+btyz+Y2S99DWHMUtT+7AP1w2C1d2Ty8IrFbzgUYBee2ibmz67QHOXdUA57SIQiAXXDa88gfM/8gp6JzWgdFkCu3NUUSjEddzWsXzNWZzRH7UG7SSGE9heHS8YJjyroVdEAB/9r42DB0aQee0DiTGU4g3RQvqAUaAgnmv3HvIzUFdcNYUPLS4BxDkA025z654sXJbLMIahN6z9QEyaBGFhHFyQmEyhtMkgOIEit4503HjpbNw8xPbK0roqFQuIeSLF3XmN6u878Uh/NPfdmPo0Aj6B3aa1ydMpjCcKAx4qxd04e6f7MLAtv35BBEg20OFApaud14Y2IttW6gAEzGI6olxcsLxZAs3238UJ1AMbNuPzqntZUsaueHkIp8YT+Pge8l8dh6QDSSjyRQ6p7XnM/WMnt/aHMXdP9qF/t7ZmHlyB/YeSeQDFnB8zuuezW9g5SVnY8aUOPp7Z+PeF4byx1jNB6bTGSQm0mhvieGdo0lb2ZXkHc5pEYWEHxUXjOZr+uadgfZmewkTdlmVVjKaTzKcR+rrRnNUILBuVyJ5POCt3DiIiGR3Ps6d566FXXhx1yGs+tQs3PLkDpx9a7ZM1Y2XzsonaXz0zMkYGTs+t5VrYzqT7e0u0631WvWpWZg6qYUlm6qEw4NEIeHX/lbVGOYya/u3r+3BaDJtOJ8EZHtc8Zao7fVi2ecUzoctv7gTS/7iA5jUGkMimcZtT+3AFy/qNJy76++djf6BnVi9ILvg+PMfPwvxpmh+ziv3faPnfXrdL/Lr0sgVWx8ce1pEIWGcVt6NiKCiKhhOUtFdt92kl5jJwLJOIAT4u4dewUV3v4inBvfbKkLbGotiUsvx+oK93acCSgEKgGSruput75p5cke+HuG654fyZZpybTR7Xue0jrLZmty2xBuc0yIKiZIFusk00pkMrnt4S9mkiVonDZgtPo63eL/+LBIRTGptQjQagQjw/kktx7dB0QL/28PGGz/uPjhSUOUiV18wV/k+V96q+HlHxyZw39Xnoa0pgpFkquTz5bYl3mFPiyhE9L0iCPCF7/2m7FYYVvNJ6XQGR8cmkFEKR8cmkE6bV3Ev5qTnYLb42Gw9VqXrz8x6j7nAP+2ElpItStb2deODU9uxaeWFWHXJzPzaq8R4Gssv7sSNl87C+n9/C6sXdJVsbbL+399CYjyNLz22reDzzeG2Jd7hnBZRSJWr95djNp/03Wt78N5YCis2Hk+hX7uoG1PamxGNlt7P6ntrYxNpjCZTWG6Sfm/YXoPeHmC9RsqqhwKgot6jvj0jYyk8/KvfY93zQ9nPoa8bU+LN+TVwI8kUrn80W7ewd850fO0zszGptQlDh0byWYcla8F0c412f1YNjinvRPWsXL2/HLMhtomMwoqNhSn0KzYO4sHFczFJC1oFF/bk8Qv75lWfwC1P7nBU69AsJd+qJqFZzUKg/ILgcnLt0Qek/OewYTD7XqKR7HGtxyuFDGzbj2/9927Muq0wCOnrERYPYdr9WRV/5lz/VYrDg0QhZafeH2A+xNbeYlyyqT3XOygaVrz+0a248tzTcMU5p+D0yXHP0u/LJYIYfd/L4TY782bFn6FZzcNcPcLiIUy7PyuroVzKYtAiCil9L2TX7ZfhwcVzMaWjGYmJdNnaeev6zs1vtqj30TMn53fwNQoMNz+xHTd8stP0ol2torFerlmzM29W/Bka1Ty8a2EX7ntxyLRYsJ3ajJz7Ko9zWkQhZyczzWjISans84zmtEQkW2OvOVowbxOLCHbdfjn+5w8G8Q+XFW9h4n02nNlQmdW6r4yCs1JWNjP7iufAfjV0GGdNnZSvA9kcFTQ3VTak1+BzX5zTImoEdvbSMp5Pyt7950o2jWqp2iJSchFfvaALAHD4aBJDh0Zw+GgSk1pieGhxD+It/sy9WAWTXM9H/737rz7PcXJI7rOxs9eX2RwYcHyRd6tuPy2r92U2Z+Vk7qtRsadFFGKZjDLtEbm9Ozfrxdx51TmIt0Qxpb0ZxyYyFQUpO8kG5SqAFJ/DrPCt13UUjXpDV3ZPx+1XnlM2gFdrB+qQYk+LKCxcVWg3uMDpe0Ru787N5ov0O/x2tLifDrd7YS43b1Xce8woZXJ8DGff+oxnAaC4N9Q7ZzpunD8LS9eXX+RdrlfsdIfnRsREDKIac5sxZpYosepTZ1e0KaFVYoIXF0+7yQZOFxZb7TDsZVJDcVLGqk+dbbDbs/Hr2EkgqUZZrTBj0CKqMbcZY1Y9okp6E2YV1nMliipNv7a6cOsrbLTFIrbSxK3avXpBF+59YajkdSpRnAk4Y4r99P9yFUCoPA4PEtWY2/Rtvybti4eoiqtFVDrEZtbukbFsgoN+iG1yvMn2UFlxu0eTKXz3l7/P75GVex0vkhr0Q5Mj2tKBcj+HTEYhncngroVdRVmX3WiLaTULOSRYFntaRFVgVafPbX09uwtW3chdlBPjaVz/6Fas2bzbsyE2s57cw7/6fUlv81gq42ioTD+01t4cQ9+8M3z5fMq9H8NF3hNpfOF7v8E3n81uULnr9stx51XnYFJLDMOJCS4otonZg0Q+8zNjzK+SP/rz7j44UrCrb3FmotskEv1z2poimHXbs56vT6pWSSQ7r2O2Bmvw/77UMOux0n3SQojZg0RB4GfGmFk9PzdyF962pkh20bFuvVMuK3Fg2/6CoS+3Abe43XaH2PTttDtkmGsnAEBguHWI08+o+LXt/Bzcbs9ChTg8SOSzMGSM6TMYhw6NYsWGQcPyTcVDX16VHfKzNp9X9fyszmNnmxbH27Mk09ws0gCHB4l8ZrpIdvFcdLQ21bBlx+nb+OY3riipYJ4bqivu2XhZdsiLBcfl3pvd5zg5z7ev7cFoMm2rt5nJKIyl0shkkF2InMz2bIcTEwXPv2thF+7etAsH30tycXER9rSIfJa9wy4trprSNmEMAn1v0KoYbnEv0G0SiRE7vU03mZZunmPUczI7TyYDR73N0WQaS9drvbX1WzCcmMhnSb5xRzY545vP7sJTg/tZMNcAgxaRzyKRbCbbnVedg123X47+3tn45rO78MXv/cbXi5GTnYX1wefeF4ZKduc1y7rzKoPRblvdBEmnzzEbBhybMD6Pkzkps+HUXJYkAFyy5mcFafqc3yrERAyiKmhtjuKSNT8rGUZr9yk7zGmChL4A7dM7DqBzajseuGYuOlqta/Z5UXbISVuNCuWWC5JOn2OaOLO4x/A8uTkpO0kkVr2+jFL57WJYMNcc57SIquDo2ASWrS+tDP7g4rmY5MO8lpt5nFrtmOu0rV6k2Fs9x2qeDgqOtniJRgsHs6yKEV+y5mdYfnEnFp0/o+BcnNMqxNBNVAXxpijWLuouubB5vdA1/3ou5nG8TJ93wmlb3bTTyXPKVRopPs9IMo2Nv96L/t7Z6JzWgaFDI9j46734/MfPQkdR0DLq9d21sAvffHYXUhmFNZt3A4DnlenrCXtaRD4w23QxMZEu2Luq+E7cK15lzFVD0NrqdGjVaQZlwf+NZBq3PbUDTw3ut/XcOsfsQSKv2UkYMJvIFxFMam1CRPvbTsDK7peVwsiY9ppjKaTTGddrgnI9OydJGl58Jlb8LEflRnFB3IeW9FgOzzlN9NBnSUKAg+8lbT+X2NMiss3uHbhXPYdMRuHo2ASOJlMFBVbXLurGxl/vLVvA1mwex8328qaliTzatLBW82leqLQMVwNv+ljM1htm0CKyyW4w8mrB7UgyhXeOJnHLkztKXrO/dzbm3/Nz0zZU+j6qHaC9UqvgV8nrhjlge4zDg0Respsw4NWC23hzFKdPNt6rqXNah2Ubyp233PuwW57J7bYqfjAblrUznFqpSspw1bqEV9gwaBHZZDcYeTVHkxhP4+3hhOluvFZtqPR9mAWj/EaQWgAwW3Br1B4v59GMmAXa0fE0t/2oIwxaRDbZCUa5oZ4pHc14cPFc7Lr9srIT+Vavd1K8CXctLKxOsXZRNzb99oDtgFgcLOzsCGwU2JZf3FnSkxlNpnD/1ef5UujWKbNA294Sq7igLwUH57SIHLCaf/BjUt2swOqxVMbeQlmTNk2ON1mew+h5D1wzF9c/WrpA+qHFPYDA80K3Tpm9hn7+D3CQju7T/BLnsExxTovIa1bzD15t01H8evHmGDpatddsjSEajdieAylX687sHEZp3x2tMeP5q5aoL4VunTLbEXnTbw8UHGc1fOl3b7Aar1HvGLSoYVU6x1L8/CAlJeRU0qbiAF1JgonZnlGjHs5tGa6vijejb94ZtuYX/bjpqMVr1DsGLWpIld7xFj//O7/Yky92qlfrhaJebh1SSYJJJIKSubnVC7rw3V/+3tOeRnGgjUYjthcKx5ujOPmEFmxaeSHe/MYV2LTyQpx8Qou3vcEA3tiEDee0qCFVOseif37/X38Yf3PuaWhvieLI6DhWelDs1Kt5D6/n2dy2K6MUVv1gEP29szGptQlDh0Zw7wtDGNi2PzDlpRLjKQyPjhcs5L5rYRcmtzcj3uzvvFsQ3n8ABKNgrohEAWwB8J9Kqf8mIh8AsBHAZAC/AXCNUmpcRFoArAcwF8ARAP9dKfWWdo5bAFwHIA1guVJqk9/tpvpW6R1v7vm9c6bj8nNOwRe+txWvvjWM5Rd34v6r52JSawyj4ym0Nztfd+NloPFi65Di87kpqpsYT+Pge0lMam0q2RVZ/7nXMkkhkwFuenx7wZYkNz2+PZto4hE3W6tQoWoMD64A8Lru36sBfEspNRPAu8gGI2h/v6uU6gTwLe04iMiHASwCMBvAZQD+RQuERK5VOmyWe/4Nn+zEyo2D+TmKNZt34wvf24rdh0bQ7nKhqNfzHkFYvJq7WJutO0uMp2uepGC6mWOLd5cbp3UNqZSvQUtETgPwaQD/qv1bAFwM4IfaIY8AuFL7+jPav6F9/6+04z8DYKNSKqmU+j2AIQDn+9luqn+VLgDOPb9zWodpxYpE0l2Qqcd5j9zFetoJLVjX1234udc6ScHL+b9imYzKFz1OjKcREQAKrIDhgt/Dg/cA+AcAk7R/TwHwR6VUSvv3PgCnal+fCuBtAFBKpUTkT9rxpwJ4WXdO/XOIXKl02Cz3/NFx451mR5IpQClkMsrxRancfk5BY3dIL5e+3xqLGn7utQ7Wfg3dZXuQSSzfMFgwVzapJZat+s+g5YhvPS0R+W8ADimltuofNjhUlfme1XP0r7dMRLaIyJal5z2fAAAgAElEQVTDhw87bi+Fn9MU9kqHzSIRQXtzrKTHds+ibvzoN/vwhe/9xlUvIWhbdVixGtIz+3mYfe5+9nTs8GvoLtuDHCzoQd70+Ha8m5hgqrsLft62/QWAXhG5AkArgBOQ7XmdKCIxrbd1GoDc7mf7AJwOYJ+IxAC8D8Cw7vEc/XPylFIPAngQyGYP+vKOKHByd/ltTZHslucbqrtNef5Ct7gHbc1RDB0awR3/9joGtu1HTOs9uD6nR8kTftIP6QHID+k9tLgHx7Tv2f15BCFJwY/dm816kKdPjqPx9nmsnG89LaXULUqp05RSZyKbSPG8UurvALwA4LPaYUsA/Fj7ekD7N7TvP6+y+fgDABaJSIuWeTgTwK/9ajeFh/4uf+jQKFYU3c1Waz4kEslu5nf1v76C+ff8HAPbsvdUlfQSgpA8YYfpkF5LtGR+asMrf8DouHlPuF6TFMx6kG8PJ2z9//C70HDY1GJx8c0AVonIELJzVt/WHv82gCna46sAfBkAlFI7ATwG4HcAngVwg1KKfWoquMs3S4io9nxItYf0an1BMx3SS6YLfh69c6bjynNPw7L1Wy0zA8MSrJ3I/t8oTD65a2EXToo3lf3/UeuMyiDi4mIKLf1mi5tWXoj+gZ01XbRZ7TVGQdj11qwN7S1RXPfw8UW0Qfj5OOH1zzKTyWYN5ooeRyJAa6z8ORtsMTIL5lJ909/l3/vCEFYv6Kpp8kK1ewnlUsSr0QszG9JrjRX2PGfWuCfshB+9m0hECooex20uOq91RmUQ1V2opsahn7h/escBdE5txwPXzEVHayzQyQtesbqgedELc5LKbpS8oE8mydVlLE7jH02mMKm1yc3b941pckkFvRu3PTc3yx/qfesT9rQotIrv8j//8bPqbj7EilWKeKULdb3obeh7nvHmaElPePWCrkD2GLzu3VTyWTqdK22EOTAGLQq1Wk3c1zoBArC+oFV64fW6OsWxiQyeem0f+ntnY9ftl6O/dzaeem0fjk1kXJ0vx4+fg9frxSr5LJ1mVNa6qkg1cHiQyKEgJEAA1uu5RkyG4+xW1fC6txFviqJv3hmersHy6udQPJzWFot4ul6s0s/SydqxRpgDY0+LyKEg3c2a9TQrTcH3urfhxxosL34ORsNpw4kJTI43VdzWXC8QADav+gR650zPf8+vSh9e/tyCMJpghD0tIofCcDdbaVUNP6pT2OkxOEki8OLnYCfpwk3yhVEv8K6FXYgIcPC9pG+ZrV793IIymmCEQYtCqZYZUrm72amTWnDDJzvROa0Dbw8nMDaRrnizQC/fVyUliWpRSsrphdKLwsJ+3YAYBcP83lwC3z5Lr35ufmRQeoXDgxRoRkMUdjKk/BzaiDdFcf/V5+EfLpuF/oGdmHXbM7jlyR0YrfB1gpb5FbR1Z8W8qELiV5Feq/JWfn+WXvzcgjyawKBFgWV2ER9LlV9U6+fFPxIRRCOR/C63x9swaHthr9H3gzRXVgtOL5RezJP5VX6r1hXrKxXk9jNoUWCZXcQzGVhe3Kpx8Tfd5Va3sNcsaJp9v60pEti722pwc6H0YnsZP4r0hml7GSNBbj+DFgWW1RCL1cWtGkMblSzsNf1+gO9uq6FWF0o/hkHDXrE+yO1n0KLAsqognru4Xdk9HS/eeBG+v3QeoI4XJi138a90zquShb1m329vKd1QMih3t+V4MYcY5AulG2GvWB/U9rPKOwWWVTYZAIyl0hhNpgq2MV/Xdy4mx5swnJgwzULTn/fkE1qw8pKzMWNKHIlkNmuv0tp85SpzW30/3hQNVN04O9mMQU6PplCx9Z+FQYsCzeqi6fbin3ve1EktuPHSWbj5ie2eXmzLXcTDcpE3aufavm5MiTcjGj0+SNNg22eQfxi0qH7o9yMaG08jrRTaW2LYfXAE974wlN8tOBYRvHHH5YhY7GOe24fr35Z/3Lc9nsr1UMJQidssGD1wzdyC4SL9vmY5dn4OREVs/WfhbRAFXvaOP4nlGwZx8gktuHH+LNz0+PHe0eoFXQCAgW37bS0uzc15+bnbcbmFvZUs/K0Wq7m3xMTxz9iLRb7knzDcIDnBRAwKvGy23SBe2nMEX7yos2R91M1PbMcNn+y0nbiQS6J4ZySJzas+gTe/cQU2rbwQvXOmN1S2XjlmCS1Dh0YKAnuQ06MbXdAWrHuBw4MUePrhpze/cQVm3WY8FOXkLjKdzuBIYhwrdEkcdy3swqSWGCa1Nlmeo97uXM1kMgrvjCYLPqPVC7rw1Gv78nuX6Y+tx88k7O8rZPONtj5Y9rQo8PR3/EOHRkzT2Z2k5R5LZbBC673lemw3Pb4d0UikbMCqtztXM5GIYEq8GQ9cM7dgD6y+eWeU9KKcpEcHtXp4sXr4WQe5HJNbDFoUeNnhp25ccNYU3PfiEO5a2FXxUJTVwmUrjVZqKRqNoKMlhmMTacw8uQOf//hZFWU51iIQuA2S9fCzrscF64HrHxIBRcMyE2lMjjfjocU9+ezBBxfPzSYEuK1i7TJ5oBZ3rrUeovIyaaTa1cMrWV5QD70UP7aYqTX2tChwzDbmizdHERFBPDfvVEkVa5fJA9W+c62HISq9ageCSnpL9dBLqbcqIwCDFgWQX8My+mGibO/N+e601c6Uq4chKr1qB4JKgmS9ZEUGtRyTWxwepMDx427ccphIxPbQVLU3R6yHISq9ag9XVbKGrBYbYVJ57GlR4PhxN+5lj6Wad671MESlV+3hqkp7S/XWS6kHXKdFgeNHbb6wlhry5bMI+dojpxrt/YYYyzhROPkxLBPWUkNefxZhKdbrpTCUzCL7ODxINVFu7YzXwzJhnlT36rPIZBRGx1OY3N6M/t7ZuOKcU0Kf2EGNh7cdVBX6IZqxCeN9sPy822/0SXWjHlau0PDTOw6ENrGDqq/Ww63saZHvitcaHXovmS+AaycpwquyP408qW6UiJIrNBzmxA6qriCsG2TQIt8VXzBPnxy3ncYdhF+SavOjNp9Z6nzntA7fhkmrVWMwLLUM60EQ1g0yaJHvii+YVkVvi1n9ktTjxcqvIG2eOp/yZVi2WjcbjXhTU0tBWDfIoEWeMQsixRfMe1+wX/TW6pekHi9Wft3JmiWitDf7M0xarTvyINz5N5IgrBtkIgZ5wiqVui0WwQPXZAvcDh0awabfHsCklli+AK7VZK5Zqno2kaN6hVerxa872Xqt5BGEO/9GEoQCvLZ6WiKyws5j1LjM7njHUmkMJyZw/aNbMeu2Z9A/sBOL5s1AR0sMHa3lkyJMU9Xr9GLl551sPVbyCMKdf9hUMqwehAK8docHlxg8dq2H7aCQMwsimQxKgtmKDYM4lsrYOq/ZL8mxiUxdXqys1pOFaQ6vWuviwrz+rha8mAOsdRauZRknEekD8H8C+EsAv9B9axKAtFLqEn+b5w7LOFWf2bbe3186z5fySdWo7FCr9ShGrwsgdJUsqvX51XrdUJiY/Z4GZFjdkzJO/w7gAID3A/gn3eNHAWx31y6qR2Zj3YmkP+WT/J6jqWW5I6OyQyM1mMOrNBhUq3wSyzTZVw/D6pY/YaXUHwD8AcAF1WkOhZVZEAHg28Stnxerau+wW061LzaNWKOwEYS1Bqee3USMq0Rkt4j8SUTeE5GjIvKe342jcDEa6w7CxK0bQbsjdZNwUMkcGFPJ61M9zAHaDa3fBPDXSqnX/WwM1Rf98BIAQIVn+CZod6ROU40r7SkFLWiTN+qhBqfd7MGDDFjkRNgrFQTtjtRpj7XSnhJTyetXrbP/KmVrE0gRWQvgzwA8BSCZe1wp9aR/TXOP2YO1F/AsJVvCnJVW6aaXnNOiGvB0E8gTACQAXKp7TAEIZNCi2quH4SW/s9L8DIqVDm/WwzAS1Se7w4MRAP9TKfU5pdTnAKzysU1UBzi8ZK14+PQ7v9hjO2nCToKFF8ObYR9Govpkd3jwNaXUueUeCwoOD9Yeh5es6YdPe+dMx42XzsLNT2wv+1k5+Vz97MmFeeiUAsvWfyC7QWsbgIuUUu9q/54M4GdKqXMqaqJPGLSCgRc2c/o5p00rL0T/wE5b839BmCvkDQn5xNZ/HrvDg/8E4N9F5Osi8jVkK2V8023LqDHU0/CSV3X/cucBgM2rPoHeOdPROa3DdP6v+HXbmiI1nyvkGi6qJVu3Zkqp9SKyBcDFyEbDq5RSv/O1ZUQ2VKM351XPwug8dy3swn/96Zhh0sTYRBqjyXTB8Wv7urH84k6s2by74Nhqrh+rhyQbCi/bm0AqpX6nlPpnpdT/w4BFQVCttWBe9SyMznPT49vxvrYmrO3rLkmaMKuQf+1ffKCm68eYZEO1FI4FM0QGqlUf0Kuehel5WmKIN8dK6zYKDI/vaC09tppDr0HYCJAal+2ellMi0ioivxaRbSKyU0T+l/b4B0TkFa2W4Q9EpFl7vEX795D2/TN157pFe3yXiMz3q80ULtUapvKqZ2F1HqP5P6vjazlXGNZ6klQffAtayFbOuFgpNQdAN4DLRORjAFYD+JZSaiaAdwFcpx1/HYB3lVKdAL6lHQcR+TCARQBmA7gMwL+ICG/pGlwmozCaTGHX7Zdj08oL0TtnOgB/hqm8Kunk9DxBKyWlV09JNhQutlLeK34RkTiAXwL4IoB/A/BnSqmUiFwAoF8pNV9ENmlfvyQiMQD/BWAqgC8DgFLqTu1c+ePMXo8p7/XNKKFh9YIuPPXaPvTNO8OXu36vEj6cnofLBqiBeJry7q4FIlERGQRwCMBzAN4E8EelVEo7ZB+AU7WvTwXwNgBo3/8TgCn6xw2eQw3IKKHh5ie243N/+QHfhqm86lk4PQ97NESFfA1aSqm0UqobwGkAzgfwIaPDtL+NfhuVxeMFRGSZiGwRkS2HDx9222QKAbO5rHZe1Inqnq9BK0cp9UcALwL4GIATteE/IBvM9mtf7wNwOgBo338fgGH94wbP0b/Gg0qpHqVUz9SpU/14GxQQThMjnC4M9mohcRg00nul+uBn9uBUETlR+7oNwCUAXgfwAoDPaoctAfBj7esB7d/Qvv+8yk64DQBYpGUXfgDATAC/9qvdFHxOEhScruUKyj5g1QgmXr1XBj6qJt8SMUSkC8AjAKLIBsfHlFJfE5GzAGwEMBnAawCuVkolRaQVwKMAzkW2h7VIKbVHO9etAD4PIAVgpVLqGavXZiJG/bOboOC0Vp/ftf3stLtatf28eK+sQ0ge8q5gbtgwaFGO080QK9080bItNi/w1SqK68V7DUIBX6obtc8eJKo1p/NffpYoslsOKkyLplmHkKqNQYvqWpAW9Nq9wFertp8X75V1CKnaODxIdS8oC3rtDqVVc56o0vfKOS3yEOe0iLxUzQt8mCphhKmtFGgMWkSV0l+QR8ZSePhXv8e654cq2lOLF3giQ0zEIKpE8Tqm6x/diivPPQ1XnHOK6z21WJaJqDIMWkQmzGoc3vDJTgD+ZMlxoS6RNQYtqoj+Int0bALpTKZuLrZm2X6d0zoAmGfJuQ08QanGQRRkDFrkWvFFdtn6rfjPd8fwnV/sqYuLrVk699ChEdP08EoCj911XESNjEGLXDMbPpv/kVPq4mJrtI5pbV83Oqe1m+7WW0ngqeVCXQ5LUliwzgq5ZjV8Vg9VEfTbyhdn+3W0GN/vuQ08mYzC6HgKHz1zcsE6rtwQpJ8lkbjWisKEPS1yzWr4rF6qIjjN9nNTISIXNL77y99j9YIuX6pxWLaZw5IUIuxpkWu54TOjbe+rcbENIqPPRP9ZGK3T0geNocOj6O+djc5pHUiMp9DenP0VHUmmfFvbxfqBFCZcXEwV0V+ER7UL67GJTEMvmjVbQGw2DDe5vQmzbnvWsNo6FHwfumOldgoILi4m/+mHzya1NiEaiTTkoll9IkNiQgtURUOKpsNwFkOK1Ri687NIMJHXeBtFVCG7iQxmw3DtLTHzIUWB70N3VgknREHDoEVUIX1vCEC+N1Q8vJbrURllB5oFjZFkCssv7sT8j5yCzmkdGDo0gk2/PeB5RmGuxwyAQ4IUaBweJKqQ3UQGq2E4syzFtlgEi86fgf6BnZh12zPoH9iJRefPQFuMv7rUmHhLRVQhqx6UvtdSPAyXS1zJz4EZDMcdS2WwYuNgQS9uxcbBbC8uysBFjYf/64kq5CSRIRIRxJuiODIyjmXrt2LWbc9alnpiOjpRIfa0iCrkNJHB7hwYYL8XR9Qo2NMi8oCTyhlOek9MRycqxFs18hR35i3PSe+J6ehEhdjTIs9wP6hCZpXT22IRrO3rtt174m7HRMexjBN5plblgILYuzMt2RRvwnBiAhte+UN+7dVoMoX25iiizAakxmbrl5bDg+SZWmS6latGUauAZpZs8eDiufnH12zeDUAX2Bm0iMribwm5Vjz8NTbhfFsOq/NVuttvLYcrrUo2MYWdyD0GLXLFKCCMJlO4/+rzcMFZU3Bl93S8eONF+P7SeYBC2UDhNsBY9e68KDbrJpBmMgojYynDAD6aNH68lnuP6d/j0bEJpDMZ7l5MgcWgRa4YB4RBRCMRfPvaHtz66Q/hlid3ZAPQ+vIByG2AsaqQbhXQ7AQht4E0MZHGw78q3dBxbV934FLYi9/jsvVb8Z/vjuE7v9iDI6NJJMYZvChYGLTIFdOA0BJFRgHLNww6CkBu58OsgoBZQNt7JGErCLkNpPHmKNY9P4S7f7IL/b2zsev2y9HfOxtT2psRjUbyKexv3HE5HlrSU9Nt7Y3e481PbMf8j5yC5RsGcei9ZENngFLwMGiRK257OG7OZ0W/jqk4CBgFtLsWdmHNc2/YCkJuA2nuvQxs24/59/wcH/zK0+gf2IljE5l8m4OSwm72HjundeDVt4Zx+uS45/t3EVWCQYtccdPDsQpAlQybmQWBkoC2uAd3b9qFgW3788+1CkJuA2nQhgCtmL3HoUMj+b+ZKEJBwnVa5JrTbeXLDYP5nZ7udB2Z2/dRjffiFaP3uHpBF556bR+uPPc03P2TXTh8NOn7Wjsi2FynxaBFvgjiRdtNEAri+/Ca/j3mtkt5e/gY7tn8Bg6+l7QdqIkqxKBFwVTLQNAIQahS/IyoRlgRg4KnkiE3L3Bb+fL4GVGQMRGDqsqLBb9E1LgYtKiqKq1P6KZCBRHVDwYtqiq3aeQAtz4hIgYtqjLjNUzdiEj5+oQcWiQizrKSZ+xkneUX/C7uQbwlir1HErjj3163lVpd7a1PmEVHFDwMWuQJJ1mBkYgAAvzdQ68ULPRdvuE1y0WsTrapd9N+fYBqi0UwnJioWZYjERnj8CB5wunQnZtek1/lkQy3WRn3ZiiSiSNE3mJPizzhNAi56TXpawl6OWRntMuwF5s11npNGlE9Yk+LPOE0K9BOr8mol5Jf+JrrsAiQGE9hZMx9b8Yo4OYKxtp9P0aYOELkPQYt8oTToTurLUUA6/T2dDqDd0aTWPrIFqz6wSCGR8exdH3hcel0xvawnFHA3fTbA1jb113RUGS1E0eIGgFrD5JnvMy2M63IvrgHGaVw/aNb8dKeI9i08kL0D+wsOG7VJTOxaN4MrNgwaGtYzmwYb3K8CcdSGdfvx2lVeaIGx9qDVF1e1qyz2hlZKeS/l9usUG/+R07BCm3nZAD5YTmzYGE1V9YRjbh+P7neZ3EwDOK+WkRhwaBFgWSaqJFM4z//eCz/vdzck/44o0BWbljOKOC67Tnqn9feEs2vSeNaL6LKcU6LAslsjiwSyc43rVvUjRdvvAid0zpw/zVzseqSmfnjRpOpipMo3JaMKn7edQ9vwbGJNKBQsKsyEbnDOS0KLKOeDgAcHZvA6HgaX3psW37YbW1fNybHm3FMO/7I6LjtOS0jbuejgjaPxaoeFCKc06Lq8/IiaTZHFo1E8KXHflMwZ7ViwyAeuGYurn90K159axjLL+7EA9fMRUdrzFU73Gb+BSljkOvEqB75NjwoIqeLyAsi8rqI7BSRFdrjk0XkORHZrf19kva4iMg6ERkSke0icp7uXEu043eLyBK/2kyVqVYV9niLcWBob4nl10St2bwb1z+6Nb9Y2elF2m01+kqq2HuN68SoHvk5p5UC8CWl1IcAfAzADSLyYQBfBvBTpdRMAD/V/g0AlwOYqf1ZBuA+IBvkAHwVwDwA5wP4ai7QUfXYKUdUrYukWWAYOjRS8FglPRy3JaP8KjXlhp+9PpanolrxbXhQKXUAwAHt66Mi8jqAUwF8BsBF2mGPAHgRwM3a4+tVdpLtZRE5UURO0Y59Tik1DAAi8hyAywBs8KvtVMjuMJOTi6TdYUSj44xSydf2dWPjK3sLnltJMV23JaP8KjXlhl8FhjnsSLVUlexBETkTwLkAXgFwshbQcoFtmnbYqQDe1j1tn/aY2ePFr7FMRLaIyJbDhw97/RYamt0elN2hMbvDiGbHASitphFvRt+8Mzzt4eTm1CIijoYY3T7Pa371+jjsSLXkeyKGiHQAeALASqXUeyKmv8BG31AWjxc+oNSDAB4EstmD7lpLRuz2oNpiEazt6y7J2iu+SBoVqDVa/FvuuOIkjaD0cILCr15fkJJNqPH4GrREpAnZgPV9pdST2sMHReQUpdQBbfjvkPb4PgCn655+GoD92uMXFT3+op/tpkJmw0xjE2lkVPYiNjaRxmgyhY2v7EV/72x0TuvAaDKF9ubSi6Tdi57Ti6OXFTnqhR+fiZ/7mhGV42f2oAD4NoDXlVJrdN8aAJDLAFwC4Me6xxdrWYQfA/AnbfhwE4BLReQkLQHjUu0xqhKjYab7rz4Po9qapLNvfQaH3kti+YZBrNm8G/Pv+Tk++JWncf2jW3FsIlNyPrvDiEHKxDPTiAkJQUo2ocbj2+JiEflLAL8AsANA7sr1FWTntR4DMAPAXgALlVLDWpD7Z2STLBIAPqeU2qKd6/PacwHgDqXUd61em4uLvVecEAEFLF1/fBHtm9+4ArNuewYp3UU7FhG8ccfliBQNCesn8k8+oQUrLzkbM6bEkUhmz19c6T2oE/5Bb5+fuGiZfGDrPxArYpAj+ovV7oMjuPeFIQxs229YbT1Xlb2jtXTIKJNRGEtlhxSXW1SuCPLFMWjVL4hCztYvNmsPkm3F2Xz9Aztx46Wz0DtnOu59YQh3LewqGDJau6gbbc0Rw00aIxFBRgHLtWrsZlloQcnEM8KEBKLq4+0g2WaUzXfzE9vR3zsb/QM70dESw5q/nYNpJ7RiJJnCI7/6Pfa8M4ob58/CTY9vL+lNhf2iz4SEQkHuFVP9YE+LbDMLMjNP7sBDS3owqSWGSW1NODaexhce3Yo1m3fjixd14qbHtxv2psKQaGHF74SEMCV5VKuEFxGDFtlmFWTiTdH8Lr/62oBWe1tFBFhXtKX92r5utMXC8d9Svw4qv8jZoySMsAUBLjimagnH1YECwaxn0RaLFFxg9x5J5INbbpNGvY+eORm7D47guoe3oK0pigeumYtdt1+O/t7Z2PjKXgwnJgJ7ca6WsAWBsA/1Ung03sA7uWZWYaF4rmvNc2/groVduOnx7bjvxaH817k5rdULunD3T3bhpT1H8M7IOG55ckfBvNBLe4ZDkYHnZ8p72IIA5/eoWvi/iRwxqrBQfIEd2LYfEUF+m/mxiXT+690HR3D3T3ZhYNt+AMDpk+Ohujjr2S1H5ercIQsCRkWMueCY/BC8//1UdZVmfRldYA++lwQEiIgg3pz9bzaSTJWs5Xp7OBGqi7Oen72hsAWBIFW3p/rGOa0G58WEv90sOqPjToo3lSRjBPnirOdn9qOfSR5+CfKaOqofrIjR4KyqOuTmq+zcOVeyPxYAw+cGfd1PI5dxIvKBrV+aYI+/kKcMN1S0GOI6MmLvgqw/79hEOr+hzEgyVRJozKqOFz8WhoDAITGi6uPwYIMwGwYcmzAe4srWBCyfcq0/76ofDGJ4dBxL11e+tshOyncQFt9ySIyouhi0GoRZEMhkYDwfZTPJQH9eq+oXTpV7/bAtviUibzBoNQjTINASNZzwPzaRsZVkoD+vVfULJzIZhdFkyvL1w7b4loi8waDVIKwy3YyGuOxmBOrPa1b9wk42XfFQ3y93H8bqBV2mr1/LxbdBGJYkalTMHgwQP7Pl3CQ26Nszmkwh3hzFsYlMQbuKN3Q0q+hu9T6M2rZ6QRee/4+DuOCD70fntA4kxlNobz4+Z1SrvazcJogEPROSKAC4CWSYVCNbzs2FM53O4EhiHCtsbtQ4NpFGJgPEW+y/hlkA6u+djfn3/NxwB2Sjz2ttXzemxJsRjfo3gOAmWIYhE5IoALgJZJhUY47GaaZbJqMwOp7GCgcbNcabY+hodZZNZzbU1zmtA4DxEGMkIpgcb6p6sV03w5KcfyPyDtdpBUSt5misel+JiTTaW2K+t8uszt7QoRHLChnHUhlc/+jWqhbbdVMTMGzFb4mCjD2tgChOlOidMx2bV30CADAylkJi3Hri301yQLm08XhztKLkCruMkj7W9nWjc1q7ZfmiWgQDNxs/hn2zS6Ig4ZxWQJRLaLhrYRfu3rQLB99LGs4plZszMepRJSbSlvMzI8kUvvOLPbjy3NNw8xPbC+aO3t/eUhBIKk00cDMvVstkDCfvlXNaRLYwESNschdDKGDpevPEhOILc7mLt9lF86R4E948PIrOaR0YOjSCe18YwtM7DuSTHnLP2/DKHzD/I6egc1oHRpMptDdHC5IdvLwoOzlXmIIBsweJymLtwbDJJTRklLJMTCgeArMaJhtJpgAFw32fHrhmLvoHdhakmXdObc/Pz+Rq633+42flL7ZGyRVe7ivl5Fx+1f7zI8CY1VwkImc4pxVAZnMgQ4dG8l/r50PMjt99cARLH9mCeItxUGtviRVktN38xHZc+xcfKJifyS00ToxrF/GJdMl8mZdzS7VOWmB5KKJgY9AKIKPJ/rsWduG+F4cMJ/6Njl+9oAv3vjCEl/YcwVJhN2cAAA8nSURBVN4jCcsgmPPqW8PZdPVI6Xooq4u4l4kGTs7lNMDYSVZhejpRsHFOK6AKhqiSaUQiQGuT+XCV/vgDfzyGjAKmn9iGoUMjeHnPO7jinFOwXLdAeG1fNza+shdrNu/On8MoicFOskOt5rScJGLYPW9GKZx96zNI6QKa0eLm4nNzvoqoYpzTCrOCOZDW0n2nzI5PjKegAPzDDwszDye1xArmftpiEfTNOwMv7Rm23M7dznCdl3NLTs7lZCjR7lyZ03VYYUoGIaoHHB70mdviqu6fh5LtQW56fDtSGVVQDSMajdjazt3ucJ2X+0rZPZeToUS7Ac7pOiwOJxJVF4OWj9xO6leSDGCWdBHXUt/17AQHN4tpq8VJ25wEXzvBPN8GVrsgqirOafnI7eLXShbNmj33zqvOwfsntbhKtw7ynI3dtvk1jFerBc5EdYgFc2vN7V14JXfv2d5Hd0km4T2b33B9928n7b1W7A4lOu1B2RXknihRPeKtoI/cFFet5HlA9uLc3hLDnVedg9MnxzF0aAR3/2QXDh9NIpFMFyR12FUvyQZ+LPD1a4EzERljT8tHbu/CK717b41F0d4SxdX/+go+ve4XOHw0ibsWdiGdybjqITHZwJqXSShEZI1zWj5zOx+UTmfyW4OMJlOIN0UdbW6YGE/h0HvJfG/r3heGcPho0tVci5u1S34J8vwaEVWE67SCwM2QVCajMJyYqGg4rrUpikvW/Kwk0LiZ16pkuNJL9TJMSUTucXgwgLwYjvOytFJQkg04TElE7GkFkBdrf+JNUdx/9Xl4NzGB0yfH8fZwAifFm1wFmqAkG3BNFBGxpxVAXvWSxtMZ3PLkDsy67Rnc8uQOjKczrttklmzgtnKHG9wBmIgYtALIi+G47FDaYNFQ2qCnQ2nV3sYjKMOURFQ7zB4MqIq3r69Cxl8tqkEwe5CobrEiRphVuvbH66E0o2HAWswxcU0UUWNj0KpTXg6lmQ0Djk1wjomIqovDgyHhZljM7VBa8fMiAlz3sMEw4OIeHNPS0Gu9borDhkShx8XF9cLtolq3C5tLX6sbJ5/QUnBcdruTKOLN0ZqnwnPRMVHj4PBgCFRzUa3xaw1i5SVnFxyXGwYMwhwTFx0TNQ4GrRCoZsKD2WvNmBIPbKo5Fx2TXjXXDlL1cXgwBPys/Wc0f2X4Wsm06TCgV3NnbocWg1IbkWqPQ8X1jz2tEPBrUa1RVuBoMoX7rz6v9LWao6YVMdwsMPZyYTIXHVMOh4rrH7MHQ8KP7DjTxcGLewCBrddyu8DY64XJzB4kIFjb6JBjXFxcT/xIeDCdC2ox7lU5OkeZ+SSv56GCkBBCtcf6lPWPQauBefEL7vYcvLiQHzhUXP98C1oi8h0ROSQiv9U9NllEnhOR3drfJ2mPi4isE5EhEdkuIufpnrNEO363iCzxq72NyItfcLfnsHoes7/ILf02Om/ccTkeWtLDJIw649uclohcCGAEwHql1Ee0x74JYFgp9Y8i8mUAJymlbhaRKwD8PYArAMwDsFYpNU9EJgPYAqAHgAKwFcBcpdS7Vq9dj3NaViqZz/Gi0kZbLIJjqYwn2YMAmP1F1JhqO6ellPo5gOGihz8D4BHt60cAXKl7fL3KehnAiSJyCoD5AJ5TSg1rgeo5AJf51eZidu74a90rqDQLz+lckNHrDScmsoHK4XyS0WvXIvur1j9DIrKv2nNaJyulDgCA9vc07fFTAbytO26f9pjZ476zEwyqvZ+UkWpf5P1+vWovFA7Cz5CI7AtKIobRrbmyeLz0BCLLRGSLiGw5fPhwxQ2yc3GudsAIwvYgfr9etRM0uK6HKFyqHbQOasN+0P4+pD2+D8DpuuNOA7Df4vESSqkHlVI9SqmeqVOnVtxQOxfnagYMsx5BIlnli7zPQaXa2V8sAUUULtUOWgMAchmASwD8WPf4Yi2L8GMA/qQNH24CcKmInKRlGl6qPeY7OxfnavYKzHoEkQiqe5H3OahUO/uLqfdE4eJn9uAGABcBeD+AgwC+CuApAI8BmAFgL4CFSqlhEREA/4xskkUCwOeUUlu083wewFe0096hlPpuudf2InvQTg2zatY5s1rpD4WqVoOop+oTrFVHFBi2fuFYxsmCnYtztS7gXpc9ouPqKQgThRjLOFXKTjp4tcoHcaW/f1gCiig8eIseEvq5HvYIiKhRMWiFSK5HAIBDgkTUkDg86CNWWiAi8hZv133CrLTgYuIFUXixp+UTVloIplqWbWLPm6hyDFo+YaWFYKrVzQRrHBJ5g0HLJ6y0YK6WPY5a3Uyw503kDQYtn3BdlbFa9zhqdTPBnjeRNxi0fMIdVI3VusdRq5sJ9ryJvMHsQR9xXVWpWvc4/FikbScbMRcsi7NJG73nTeQUr6RUlpcp4rkeh76GYq7HUa3A7uXNhN2lDaxoQuQNDg+SJa/noOptrs/JcCdrHBJVjj0tsqS/KAPIX5TdVpevtx5HrYc7iRoNe1pkyY+Lcj31OJhgQVRdDFpkKpNRGE2msOv2y7Fp5YXonTMdQGNelM3WltXbcCdR0HF4kAwZJRisXtCFzqnt6Jt3Rt1dlK2STcolW9TTcCdR0LGnRYaMEgxufmI7PveXH6i79Wblkk3KJVvU03AnUdAxaJEhs7ms9jq8KJcLSky2IAoOBi0y1EgJBuWCUiN9FkRBx6BFhhopwaBcUGqkz4Io6ESp+tsaoaenR23ZsqXWzQi9Rtks0U5Vi0b5LIhqyNYvFINWA+IFuBQ/E6Kas/ULx5T3BmO3Vl6jYXFjonDgnFaDqfXWIERElWDQajBM3yaiMGPQajBM3yaiMGPQajDl0rfNauwREQUBZ5wbjFWtPCZpEFHQsafVgMxq5TFJg4iCjkGL8pikQURBx6BFeUzSIKKgY9CiPNbYI6KgYyIG5XFDQyIKOgYtKsByRkQUZBweJCKi0GDQIiKi0GDQIiKi0GDQIiKi0GDQIiKi0GDQIiKi0GDQIiKi0GDQIiKi0GDQIiKi0GDQIiKi0GDQIiKi0GDQIiKi0BClVK3b4DkROQzgD1V+2fcDeKfKr+kW2+qPsLQ1LO0E2FY/BLWd7yilLit3UF0GrVoQkS1KqZ5at8MOttUfYWlrWNoJsK1+CEs7zXB4kIiIQoNBi4iIQoNByzsP1roBDrCt/ghLW8PSToBt9UNY2mmIc1pERBQa7GkREVFoMGg5JCKXicguERkSkS8bfP9CEfmNiKRE5LO1aKOuLeXaukpEfici20XkpyJyRi3aqbWlXFu/ICI7RGRQRH4pIh8OYjt1x31WRJSI1CxLy8Zneq2IHNY+00ER+b9q0U6tLWU/VxH5W+3/604R+d/VbqPWhnKf6bd0n+cbIvLHWrRTa0u5ts4QkRdE5DXtGnBFLdrpmFKKf2z+ARAF8CaAswA0A9gG4MNFx5wJoAvAegCfDXhbPwkgrn39RQA/CHBbT9B93Qvg2SC2UztuEoCfA3gZQE+AP9NrAfxzLdrnoq0zAbwG4CTt39OC2M6i4/8ewHcC/Jk+COCL2tcfBvBWrf8v2PnDnpYz5wMYUkrtUUqNA9gI4DP6A5RSbymltgPI1KKBOnba+oJSKqH982UAp1W5jTl22vqe7p/tAGoxGVu2nZqvA/gmgLFqNq6I3bYGgZ22LgVwr1LqXQBQSh2qchsB559pH4ANVWlZKTttVQBO0L5+H4D9VWyfawxazpwK4G3dv/dpjwWR07ZeB+AZX1tkzlZbReQGEXkT2YCwvEpt0yvbThE5F8DpSqn/r5oNM2D3579AGxr6oYicXp2mlbDT1rMBnC0ivxKRl0WkbOUEH9j+ndKG2j8A4PkqtMuInbb2A7haRPYBeBrZnmHgMWg5IwaPBTX90nZbReRqAD0A7vK1ReZstVUpda9S6oMAbgZwm++tKmXZThGJAPgWgC9VrUXm7Hym/y+AM5VSXQA2A3jE91YZs9PWGLJDhBch24P5VxE50ed2FXPy+78IwA+VUmkf22PFTlv7ADyslDoNwBUAHtX+Dwda4BsYMPsA6O9GT0Nwu9S22ioilwC4FUCvUipZpbYVc/q5bgRwpa8tMlaunZMAfATAiyLyFoCPARioUTJG2c9UKXVE9zN/CMDcKrWtmJ2f/z4AP1ZKTSilfg9gF7JBrJqc/D9dhNoNDQL22nodgMcAQCn1EoBWZOsSBlutJ9XC9AfZu709yHb7c5Obs02OfRi1TcQo21YA5yI7WTsz6J+rvo0A/hrAliC2s+j4F1G7RAw7n+kpuq//BsDLAW7rZQAe0b5+P7JDX1OC1k7tuFkA3oK2DjbAn+kzAK7Vvv4QskGtZm22/d5q3YCw/UG2G/2GdrG/VXvsa8j2VADgo8je5YwCOAJgZ4DbuhnAQQCD2p+BALd1LYCdWjtfsAoWtWxn0bE1C1o2P9M7tc90m/aZ/nmA2yoA1gD4HYAdABYFsZ3av/sB/GOtPksHn+mHAfxK+/kPAri01m2284cVMYiIKDQ4p0VERKHBoEVERKHBoEVERKHBoEVERKHBoEVERKHBoEUUECLylVq3gSjomPJOFBAiMqKU6qh1O4iCjD0tohoQkadEZKu2N9QyEflHAG3aPkzf1465WkR+rT32gIhEtcdHRGS19vzNInK+iLwoIntEpFc75loR+bGIPKvtqfTVGr5dIs+wp0VUAyIyWSk1LCJtAF4F8AkAf8j1tETkQ8hWs79KKTUhIv+CbJml9SKiAFyhlHpGRH6E7FYtn0a2wsEjSqluEbkW2YoXHwGQ0F7jWqXUliq/VSJPxWrdAKIGtVxE/kb7+nSUFn/9K2QL2L4qIgDQBiC3h9Q4gGe1r3cASGqBbQeym5DmPKeUOgIAIvIkgL8EwKBFocagRVRlInIRgEsAXKCUSojIi8hW2C44DNle0y0Gp5hQx4dIMgCSAKCUyoiI/ne6eBiFwyoUepzTIqq+9wF4VwtYf47sFiYAMCEiTdrXPwXwWRGZBmSHE7WNBZ34lPa8NmS3cvmVF40nqiUGLaLqexZATES2A/g6gJe1xx8EsF1Evq+U+h2yG13+RDvuOQCnOHydXwJ4FNkK3k9wPovqARMxiOqQlojRo5T6H7VuC5GX2NMiIqLQYE+LiIhCgz0tIiIKDQYtIiIKDQYtIiIKDQYtIiIKDQYtIiIKDQYtIiIKjf8fCZa+I8URiQEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4c066588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4c0e3e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4c092fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd44e4a780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4b52b518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4b544390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4b466048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4bbf8e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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R8Qh5w6JWMMdxsPmZfovRg1Qz/NrsSJWL6xoa4xE8fOd1+cwKjfEI4tyqEGi5EfKwfZEpq+oZaPjKoJpQuNmxaEHfg+kKqtyQaeP5V09iSiIKEWBKIornXz2JIZPTukGmCUrWr/Mi4JMjLaoJfm52pMrVRzXc2NKM00YGk+qiOG1kcGNLM+o9qIBLlYtI9j1XOEJOxHRE2GkRlYdpnMIplbFhpK2iad0Ni1pRF9GRiLPjCqq0Ddy381DJBNWxKv9tviqoJiSiOjYvnu1KBzQbiShHWkFmK2DVrr6iad1Vu/pg117Og5qSiOv5+nWv/s3nsP/+m3Hp5LgnWxWYEYNqhm0rGBkLiZgOI20xHVAIMJNJOBkpE0bGxEDS+jCApk5HIhoZSwQhM2LQxKKUQu4mrPBzCi5mMgmvZCYbrXvNV/dhzZ7DSHqQDQNgp0U1wrJsnBpMY/mOg5i5dh+W7ziIU4NpWBaj0IJMFym5T0vnKCvQbAXsOVi8mX/PwROeTOtyepBqwtlkBst3HBy2MLx1SXvVs05T5Wyl8JXv9+K+T1+Vz86/5dljeOTuNk4PBphl2/g/H6Tw4K4X8wE0Gxddj9+5IF71hLkMq6Ka0DDCDv0GRg4G2uAIRSC9KHFBlTPSFh7c9WJREcgHd73o3CRWdwKP04NUE7g2Ek5MdBxOft4kstOimpCI6iUrFzPkPdiY6Dic/Ex0zDUtqgm2rZDMWDBthca6CAaSJiKaoI5h74FmpE0Y6RKh07EIEjFO7QaVkTLRb6Sxaldf0abwpkSs6iHvfFVQTUiaFk4PZfDAEx8uDH/zrusxRcCLX4DFIxreH1RFGTE2LroeFyY4CRR0dVGtKI1TnUept/jKoJpg2woPPPFiUWaFB554ETZTKwRa4YJ+7rw9uOtFVi4OuLqYjoeeehkpJ7FxyrTx0FMvo86DtUjeglJN8LO+D1WOUZ/h5GfUJ18ZVBP8rO9DlWOi43Cqj+rYcs8cnDYy+enBKYko6j0IfOKrgmqCJtkKuO6FYcZgBFsiquNb98zB+wUXvwsTUUZ9Bpxp2cOKrm5a3AbTshGpcgFPdlpUE+JRDXG9eGE4rmuIsy5ToCmlkCpx8WtUCmUGk5EPMrZC1wvHsW7BrHwmk64XjuOLN12Juir/bb6jqSYYaQudB44XLQx3HjjOBf2AMzIWVroqTq9kxenAS8R03DF7GtbtPYJrvroP6/YewR2zp3myKZydFtWEREzHwvbpRW+ihe3TmVkh4BiIEU5G2sLq3cV10Fbv7vPkJpGvDKoJQxkbuw++WTRdsfvgm7j3Uy1oZAXcwMql33IHYjD3YLAxjRPRGCWiOpZ+YgbikexLOh7RsPQTM7igH3D1UR2bFrvSby1u8yQKjSpnjJDr0/Ag1ydHWlQTuKAfTmnThiYoCqDRJHu82lFoVDnNqYM2PFq3+u81dlpUEwoX9AHkF/S3LmnHJF78AstWwJ//Q++wOmjblsz1sVV0LnUxHRv/8WjRdPzG/UfxyN1tVf/b7LSoJjTEI7j12kux5Z45mFwfxZmhDH7Y+1su6AdcIq6PkMmE04NB5mdGDN6CUk1IZyzcdu1U3LfzEGau3Yf7dh7CbddORZqh04HGOmjhVB8pXQqoPlL9mw2WJqGacDaZwfIdB4dNM2UrqTIKLahM00b/UBorO3uL1iKb6mOIRHhPHVRG2oRlK1i2ys9s6JpA12QsVRVYmoQmDu73CSdNEyScPHa5i19EE9ZACzjbViVvErctaa/63+atDNUETjOFU9K0cCZpFk3rnkmaSJqc1g0yP6sqsNOimhDVpOQce5R37IHGOmjhlKuqUChXVaHaOHdCNSGqa2iMR/Dtz7ejsS6CgaSJiCaIMtw90FgHLZz8rKrAVwbVBBHBYNrEioIF/c2L21AXjfvdNBqFkbKw4parMP/aqfn9Pvtfept10AIu5twkFm4Kb4xHEPPgJpGvCqoJRsZCp6tUQucLx53cg3yZB1VEAzpuuBwruwqiBzvawMDBYEtaNp5/9STmfeQiiABTElE8/+pJfGrmJWis8snju5lqQn1Uwx2zp2H17g+nK9YvbEU962kFmmkDXQdcdZkOHMe9N7X43TQaRSKm4887e2EWrD1GNMGvv3Fb1f8239FUE/wslUCVq49pJesy1cd4aQoyIz1CIIYH7ze+MqgmcJ9WOPFmI5wSUR2bF88uitbdvHi2J1UV+I6mmsC6TOHEm41w0jTBhfVRbF3SjoZ4BIMpE/UR3ZNN4RxpUU3gPq1w4qbwcDJNG/1GGst3HMTMtfuwfMdB9BtpmKZd9b/N3INUE2yl8Pjzr+P2tsuKsrx/ft4MT2r8UGWMlIl+Iz1sv09TIsa9WgF2NpnBd3/2m2FbFb5405Vjmdlg7kGaOIy0hR+/9A6+tvdX+WPzWpqxsH06Q94DrC6m45mD7wwrKfP5eTP8bhqNIhHTS0brJmLVX9Pi9CDVBD8XhqlyybSFz/zepUW5Bz/ze5ciyUCMQPMzgIa3oFQT/FwYpspZSmHVrr6iitOrdvVhqwfZwqlyfgbQcKRFNcGySi8MW1b1F4apcoweDCc/A2j4yqCaYGQsrOzqLbpjX9nVmy0CyaS5gTWYMkvmHuRWhWCrj2YrF7vTb9VznxZReXjHHk71Ub1k7kEvLn5UuaGMhYNv9BcF0Dz/6kncdPXFVb9J5C0o1QTu9wmnoYIRcm5Bf2VXL4YyDMQIskRUR/sVTUUBNO1XNDEjBlG5EjEd6xe2+hKCS5XjCDmcdF1Dc0OsKPApEdWhszQJUXmGMjae7DlRlC38yZ4TTmkSTigEVS7xqjv9lpG2uL8u4HRdy08Fern+yHcz1YREVMfiG68oyha++MYruE8r4Li/js5X1dI4iUgdgOcAxJEd0f1AKfU1EbkSQBeAJgCHAHxeKZUWkTiAHQDaAZwCcLdS6nXnd60B8McALAArlFL7R/vbTOM0Mdm2gpGxkIjpMNIWElHu0woDnjdylHXSqznSSgG4RSl1PYA2ALeKyMcBrAfwt0qpqwG8j2xnBOfj+0qpqwD8rfM4iMhHAXQAmAXgVgD/U0R4G0ZUIzRN0BiPQBPnIzssGkXVOi2VNeB8GXX+KQC3APiBc3w7gDucz293vobz/c+IiDjHu5RSKaXUbwAcA3BDtdpN4WTbCqcG01i2vRsz1+7Dsu3dODWYhm3XXkLoWmPbCgMpE7ZyPvKc0SiquqYlIrqI9AJ4F8DTAF4FcFoplYtDPgHgMufzywC8CQDO9z8A0Fx4vMTPEAHIbi5e0dlTFDq9orMHBkOnA403G3S+qtppKaUspVQbgGnIjo5+r9TDnI+l5gTUKMeLiMhyEekWke733nuv0iZTSCViesnQaYa8BxtvNuh8eRI9qJQ6DeBZAB8HMEVEcrGs0wC85Xx+AsB0AHC+fwGA/sLjJX6m8G9sVUrNVUrNvfjii6vxNCjAuLk4nHizQeerap2WiFwsIlOcz+sB/D6AlwH8C4A/ch62FMAPnc/3Ol/D+f5PVTa0cS+ADhGJO5GHVwM4UK12UzjlNhcXhk5zc3Hw5fZpFcrt0yIqpZq796YC2O5E+mkAnlBKPSUivwLQJSIPAegB8B3n8d8B8LiIHEN2hNUBAEqpIyLyBIBfATAB/KlSiq9oKjKUHmFz8U0taKzjdsSgSkR1bFvSDtNW+Rx2EU24TysE/NqqULV9Wn7iPq2Jx0ib6B8sUba9IYZEjJkVgsqybJwaTA9LmNvcEPMkJRBVxrYVjLQ5/GYjNqYtC77v0yLyTF1Ux8b9R7FuwSwcfeg2rFswCxv3H0Ud79gDzRghYS4DMYItbVow0lZRwlwjbSFtsnIxUVmMtIV3zqQw/9Hn8sfmtTQzh13AMWFuOGVsNWL9uroq/22OtKgmMIddODHqM5z8vNng7QzVBE0TNDfEsG3pXOawC5GoJiUr4EZ53gItd7Phzs7vRcVpBmIQkW8sy8ZQxhq2oF/vUW0mqoxl2TibMnHayGB6UwJv9huYkohiUjwylvNW1p0KR1olMOs0kTd0XUM9kA+80NlhhYKIIGPZWLPncH6EvHlxG7LpYquLrwwX5kIj8paI5C92hZ9TcGXTb/W60m95E/XJTsuFudCIvMObxHDyM/0WOy0X5kILL5a4CB/eJIaTn1Gf7LRcmAstnHjHHk68SQwnP3N9MnrQJXfxW9HZU7DAOBvNDTEGYwTYQMrEsu3dRSG481qasW3pXG4uDrCBlIl//fW7mPeRi/LRg8+/ehKfmnkJz1uADSQzeOxnv8H8a6fmc33uf+lt3HvTlWisPOR97NGDIvKV0b6vlHrkfFoUBtzvE06JmI5LJ8ex//6b82+iLc8e4x17wNXpGtqvaMJ9Ow8V7dOqY/RgoGkiuLN92rBcn5oHQTTnupWZ5Hy8BsDHkC0TAgD/EcBzJX+iBmia5O/yeLcXDsm0hQfnXzPsTZRMW0jwHAbWkGmNmA5oUoQdV1DVxXRs/MejRVUVNu4/ikfubqv63x71VaGU+iul1F8BuAjAHKXUA0qpBwC0I1uMkSgQLKWwaldf0YL+ql19sGpw+ruWMPdgOBkpCy0XNRQda7moAUYqOAlzLweQLvg6DWDGuLeGqEK8+IWTn+mAqHJRDei48XKs7CxIv7W4DVEPBsfl/onHARwQkXUi8jUALwDYUb1mEZ0fJl4Np0RUx6aOtqIotE0dbUx0HHBpW2Gla3Pxys5epD2I1i07elBE5gD4lPPlc0qpnqq1aoyYe3DiMS0b/SWKCTY1xBDhon6gWZYNI2OhIR7BYMpEgmmcAs9WCjPX7oNZ0ElFNMGvv3HbWIIxxj33YALAGaXUd0XkYhG5Uin1m8raRjS+kqaNg2/0Y8s9c4aHTvMCGGi6rmGSc444JRgORsrCiluuGhbybqQsNNZVd0q+rN/uTAnORTaK8LsAogB2Avhk9ZpGVL5EVMfcGc1FodOsp0VUHREN6Ljh8mEzG14EfJY1PSgivQBmAziklJrtHOtTSrVWuX0V4fTgxMTs/ETeOJvMYPmOg8M2829d0j6W0XJZb9Zy+8W0yvZuCgBEpOEcjyfyXG5/nSbOR3ZYocCckeHjZ7RuuZ3WEyLybQBTRGQZgJ8A2Fa9ZhHRRMCckeFkpEbI0erBPq3ziR78AwCfRXYIt18p9XQ1GzYWnB4kCoeBlInH/vW14TnsPtXCbDQBlr3ZSGFFwT6tzYvb0NwQH8sMx/hED4qIjmwn9fsAAttREVH41Ec13DF7Glbv/jD91vqFraj3YpcqjUlM1/DwnddhelMCb/YbiHkUpXvOTkspZYmIISIXKKU+8KJRRDQxGGkLq3f3FeUeXL27z1nQZ8cVVEbGwpd3HvKlqkK5vz0J4LCIPA1gMHdQKbWiKq0iogmB6bfCKQyVi/8ZwH9FNrP7wYJ/RIHBKLTwYdHVcPLzvJ1PIEY9gMuVUker26SxYyDGxFOlhWGqMhZdDacqnbeyfrDczcX/EcBGADGl1JUi0gbg60qpBZW2rprG2mlxk2r4DCRNPPazElFoN7VUPa0MjY1p2hgyP8w9WB/REWEtrcCrwnVyXHMPrgNwA4BnAUAp1SsiV1bUrIDjnV841cdGiEKL8eIXZJZlo98Ynui4uSHGpLlUUrmvCrNE5GBNLhgYGQsrOnuKUu6v6OyBkeEce5AVRqHlztvq3X1cGwk4I/Nh5eJ8iYuuXr7fAs7PTeHldlovicj/A0AXkatF5O8A/LyK7fKNn1ExVDlGoYUTz1s4+XlzX+4r488BrAWQAvAPAPYD+OtqNcpPRnqElPtpizv0AyyXVsZdAdeLUglUucGUWfL9xsrFwebnzX257+Y/VEqtRbbjAgCIyCIAu6rSKh/VR7SSKffruTAcaPVRDZs62oafN2ZWCLT6iD7C+40zG0GWC3kfdpPowc19ue/oNWUeC70h0y45xz5k2n43jUYxlLHRdeA41i2YhaMP3YZ1C2ah68BxDGV43oIsOcL7Lcn3W6Alojo2L56NeS3NiGiCeS3NntWvG7VLFJHbAHwOwGUisrngW5MBmNVsmF+4phVOibiOzT89hkd+8kr+WEQT/NlnrvaxVXQuifgI77c4329BpmmCC+uj2LqkvWgM28uuAAAfpElEQVSrghcR1ucaab0FoBvZNE6FmTD2Aphf3ab5gzv0w2kwZZY8b4Opmry3qhk8b+GU26qwfMdBzFy7D8t3HES/kYZlVX+EPGqnpZR6USm1HcBVSqntzud7ARxTSr1f9db5wM9hL1UuEdOxfmFr0Xlbv7CVI+SA43kLJz+3KpS7Yva0iCxwHt8L4D0R+d9Kqa9Ur2n+0DRBc0MM25bOZUaMEDHSFo68dRpb7pmDyfVRnBnK4PlXT+LChouZLTzAhtI2nuw5gXULZuWjB5/sOeFkMuF5C6owVC6+QCl1BsCdAL6rlGoH8PvVa5a/WLY9fOojOtqvaMJ9Ow9h5tp9uG/nIbRf0cQotIBLxHQs/cQMxJ3o3HhEw9JPzOBIK+D8nNYtt9OKiMhUAHcBeKqK7SGqSNIaIQrNgzl2Gpu0ZWPNnsO45qv7sGbPYaR5zgIvqgk2dbQVTetu6mhD1IMb/HLHcl9HdkPxz5RSvxSRFgCvnONniDzDqM9wymZW6C0qArmis9eTYoJUOVsB8ahWNB0vkj1ebWWNtJRSu5RSrUqpP3G+fk0ptbC6TSMqXy4jRqFcRgwKLt5shFM8qiGdsXHayEAp4LSRQTpjI+7BZv5R/4KI/IXz8e9EZLP7X9VbR1SmiIaS0xVMZBJs3GISTkMZG91v9GNKIgoRYEoiiu43+j3ZzH+u8ffLzscJVVGR9bTCx7SRz4iRi0LrOnAc997U4nfTaBT1kRHSb/FuI9DqI1o+8Mnr81Z25eIwGUsRSFbADSdbKcxcuw9mwaR6RBP8+hu3QROet6AaSJl47F9LFO/8VAvXtAJsIGVi2fbuotyD81qax7oWOX5FIEXknzC8ftYHyI7Avq2USp5f24LLSI+wMLxkLrOFB1guBNedwJPZwoMtEWP6rTDycy2y3LHcawAGAGxz/p0B8A6Amc7XNYO50MIpEdWxabFrTWtxGzOZBBzXtMLJz/NW7tBhtlLq5oKv/0lEnlNK3SwiR6rRML8YI9yxGykTjbxjDyxd19CciBUl8ExEdZZsD7hc2rQVnT0F0/FMmxZ02fPWNmwZxYvzVtaaloi8DGC+Uuq48/XlAH6slPqoiPQopWZXuZ3nZSxrWkbKRL+RxqpdffmTsWFRK5oSMSQ4x0407izLhpGxeLMRIratcDaZwftGBtObEniz38CFiSgm1UXHsvY/fmtaAB4A8DMRedX5xVcC+BMRaQCwvbL2BVNdTMfGfzxaFIW2cf9RPHJ3m99NI6o5tq3Qb2SGjbSaG2IMfAowI2PhyzsPjXcgRlnK+u1KqR+JyNUA/h2ynda/FQRfPFqtxvnBSFt450wK8x99Ln9sXkuzJxU5iSaabEaMHlfgUw8zYgScn4EY5UYPJgB8BcAVSqllInK1iFyjlKq5PIScYyfyDjNihJORtrDilquGbVXw4ua+3N/+XWSLP85zvj4BYBdqMHkuS5OEFzeFh08uCm1Y4BNnNgKtPqKh44bLfdkUXu5f+IhS6r8DyACAUmoIZS6ahRFLk4RPdlN4Gsu2d2Pm2n1Ytr0bpwbTsL3I4EkVY9HVcBoyS1dVGDL9T+OUkxaRejgbjEXkIwBSVWuVz3jHHj5cGwknzmyEU6DXtEREAHwLwI8BTBeR7wH4JIAvVLdp/sjdsTOaKVwSMR2XTo5j//035+fYtzx7jGsjIZCb2QDAG4yQ8HNNq9x9WgcBfBbAx5GdFvyFUupkVVs2BmPZp1WlnFpUZUbaRP9gif11DTEkYjxvROPJsmycGkwPW9NqboiNZY9dWaOCcn/7LwC0KKX+WSn1VJA7rLFiNFM42Tawaldf0Rz7ql19sFkEl2jcDWVGWNMKQGmSnH8P4Esi8gaAQWR7RKWUaq1ay3zi57CXKseckUTe8fP9Vu5V+LaqtiJA/AzlpMoxyzuRd/zM0VrWlVgp9Uapf1VtmU/8DOWkyiViOtYvbC0KnV6/sJXTukRVoIlgw6Li99uGRa2e1K7jfJcL17TCaShj48meE0U5I5/sOeEUE+QomWg8+ZmjlZ2WC3foh1MiqmPxjVcw/RaRB4zUCDlaU1bVi+WWFfIeNmMJeec+rfBiiYtw4mb+8KnSFpNxLU0yYXCHfjixxEU48SYxnOqiOjbu92d6kLehJTD3YPgUpnHKBdCs6OyBkWHZ9iDjeQunwhJOH/kvP8L8R5/DO2dSMNLVP2/stKgmMIAmnHjewsnPRMecHqSawACacOJ5Cyc/l1E40irBsmycTWZgK4WzyQwsi3u0go4lLsKJ5y28/FpGYfSgS5USQZIHGIUWTjxv5BjXhLkThpGxSmbE4MJw8DGAJpx43uh8VK3TEpHpIvIvIvKyiBwRkZXO8SYReVpEXnE+XugcFxHZLCLHRKRPROYU/K6lzuNfEZGl1WozADTEIyUXhhs4v05E5LtqjrRMAA8opX4P2TpcfyoiHwXwnwE8o5S6GsAzztdANinv1c6/5QC2ANlODsDXANwI4AYAX8t1dNWQS7xaKJd4lYiI/FW1Tksp9bZS6pDz+VkALwO4DMDtALY7D9sO4A7n89sB7FBZvwAwRUSmApgP4GmlVL9S6n0ATwO4tVrtTkR1bOpoK1oY3tTRxoVhIqIA8GTOS0RmAJgN4AUAlyql3gayHZuIXOI87DIAbxb82Ann2EjHq0LXNTQ3xLB1STvTARERBUzVr8Qi0ghgN4D7lVJnRntoiWNqlOPuv7NcRLpFpPu9996rrLEOXdcwqS4KTQST6qLssIiIAqKqV2MRiSLbYX1PKbXHOfyOM+0H5+O7zvETAKYX/Pg0AG+NcryIUmqrUmquUmruxRdfPL5PhELBthUGUiZs5Xy0a287B1FQ+PV+q2b0oAD4DoCXlVKPFHxrL4BcBOBSAD8sOL7EiSL8OIAPnGnE/QA+KyIXOgEYn3WOEeXlEq8u296NmWv3Ydn2bpwaTLPjIqoCP99v1RxpfRLA5wHcIiK9zr/PAfhvAP5ARF4B8AfO1wDwIwCvATgGYBuAPwEApVQ/gL8G8Evn39edY0R5TLxK5B0/329VC8RQSv0MI+9w/kyJxysAfzrC73oMwGPj1zqqNUy8SuQdP99vjDAogbkHw4f764i8k0t0XCiX6Lja2Gm55HIPLt9xEDPX7sPyHQdxajDNjivgEjEd6xe2Fu2vW7+wlSMtoirwM9ExE+a6nE1m8N2f/Qbzr52ar8i5/6W38cWbrsSkuug4t5TGy0DSxGM/e23Yebv3phY01jEFV5AxYW44VeG8lfXDfDe7JGI67pg9Dat39+WzvPOOPfg0Ae5sn4ZVuz48bxsWtYLXvmDLRaGt6OzJn7fNi2ejuSHGjivgcomOAXha+4wjLZezyQyW7zhYVJRuXkszti5p50grwCzLxtmUidNGBtObEniz38CURBST4hFuDg+wgZSJZdu7h73fti2dyyKQEw9HWpVglvdw0nUt20FpAhGguTHG9FshwKhPOl98R7sYqRGiYlLc7xN0TL8VPn5GoVE4cXrQxUibGEpbOJs089NMk+oiqI/pSMQ42iIaT1zTCi8GYgRETNcwoEys2XM4/ybatLgNMd61Bx6j0MJH0wTNDTFsWzqX5y1E/LzZ4JXYZShjYWVnb1F6kpWdvRhiOqBAY+7B8MpFoWnifGSHFXg1mcYprBiIEU5GxkLnC29g3YJZ+X1anS+8gXs/1cIoNKJxxjROAcJ0QOFUH9Vwx+xpWLf3CK756j6s23sEd8yehvooX+JE441pnAIkpgk2dbQVpSfZ1NGGGKcsAs1IW1i9u69oumL17j5GoRFVgZ9pnDhv4pKxga4Dx4ummboOHMe9N7Ug7nfjaESc1iXyjp8BNHxHuyTiOjb/9Bge+ckr+WMRTfBnn7nax1bRueSmKwozK+SmK7imRTT+/ErjxOlBF2OENS2Da1qB5ud0BRF5h5uLXYyUiX4jPSzxalMihgTv2APNNG0MmRYa4hEMpkzUR3REIrwvIwoJbi6uRF1Mx7HXz+Lbn29HY10EA0kTh4734+aZl/jdNBqFZdnoN9JY2dX74abwjjY0N8SYzinguCk8nPw6b3w3u6QzFj469QJ86fFsEcgvPX4QH516AdLcXBxoRsbCyi7XpvCuXk82O1LluCk8nPw8b+y0XDK2Knnxy/BNFGiMHgwnPzMrUOX8PG/stFx48QsnbgoPJ5YmCSdmxAgQXvzCqT6ql9wUXs/owUBjaZJw8vM6yehBl2TaxJmkOWxBf3JdBHUsTRJYAykTr7xzBh+5eFI+gObV987i6ksnc59WgLE0SThZto3fvp/E6t0fRlmvX9iKyy6sg65VPBYq64Sz03KxLBtDGQumrTC5PoozQxlENEE9q+AGmmXZODXI6MEwYvRg+AykTDz2r69h/rVT85mD9r/09lgTVLPTqsRA0sSyHd1FmRXmtTRj25K5aKzjHXtQDaRMLNte4rwtncuRFtE4q9IImfu0KpGIj7DAGOfaSJBxQZ/IO8w9GCC5NE7DctilTDTWRX1sGY3GSFlYcctVw6YrjJTFETJRFTD3YEBoItiwqLUoCm3DolZowjn2IItoQMcNlxfV0+q44XIwixNRbeFb2qUupuOZl9/Blnvm4NffuA1b7pmDZ15+B3WcZgo000bJTeGm7XfLiGg8cd7EJZm28Acf/R3ct/NQfoHxm3ddj2TaYsLcAONaJNHEwJGWi6UUHnjixaI79geeeBFWDUZZ1hIjNcIm1RQ3qRJVg20rDKRM2Mr56FGqO3ZaLkzjFE6JmI7Ni9tc9bTaGD1IVAV+Jszlldgld8c+PHqQUWhB1xCLFJWUiXCDKlFVFCbMBZBPmOvFvkiOtFw0wQjRg363jEaTNi0MpMyikjIDKRNpk9ODROONCXMDJBbR0BiP4OE7r8PRh27Dw3deh8Z4BDHGTgcaS8oQecfPRMe8ErsMZSzs+PnrSDmx0inTxo6fv44h1vcJNK5FEnknEdWxefFs1xrybCQ8qKrAd7RLQzyCzT89hkd+8kr+WEQT/NlnrvaxVXQugyNkMhlMmZjETCZE48rPNE4cabmwnlY4JUaop+XFnR/RRJRL46SJ89GjhX9meXexbBsDSRMKyJcmEQCNdZGx1IkhD1iWDSNjoSEewWDKRILlZIjCpKxej+9ol4xpQwE4bWSglPPROU7BpusaJtVFoYlgUl2UHRZRDeKaloutsrWZ1uw5nE/jtGFRK2J6zO+mERFNeLwVdbEVsGpXX1Ho9KpdfWDkNBGR/9hpuTDxKhFRcLHTcjFGiB40GD0YeH4l8CQi77DTctFE8M27ri8Knf7mXdezCGTA2bbC2WQGJ8+moBRw8mwKZ5MZdlxENYaBGC6aZPNqPXzndZjelMCb/QYSMZ25BwMuaVo4WyKAJhrRkIjxZU5UKzjScjFtlEzjxIj3YLPtEQJoeN6IagpvQV0ScZ1pnEKIATREEwNHWi5M4xROrFxMNDEwjZOLZdv47ftJrN7dl18bWb+wFZddWMc0TgGWC8R438jk1yIvTESzGTK4IEkUBmW9UTk96GKkLTzZcwLrFszCVZc04ti7A3iy5wS+eNOVmFTHTivI0pZdFIixeXGb300ionHGq7BLIqZjYft0rNt7BNd8dR/W7T2Che3TPanISZXLlv8uLgK5orMXBuugEdUUjrRcUhkb8agUhbzHo4JUxkYizj4+qPws/01E3mGn5WIrhT//h96iYoLzWpqxbUm7j62ic8mV/3YXgTTSFhpZvZioZnDo4JIYoWx7ghe+QPOz/DcReYdXYpdc6PSwO/aUhcY6/ncFlaYJmhJRbF3SXlQEkpGDRLWFIy2XuohWsmx7XYT/VUFm2wr9RgbLdxzEzLX7sHzHQfQbzD1IVGt4JXYZMi10HTiOdQtm4ehDt2HdglnoOnAcQyaj0IIsGz3Y44oe7GH0IFGNYafl0hCP4IJEFJdOjkMEuHRyHBckomjgmlagMXqQaGJgp+WSzli4ve0ynDYyUAo4bWRwe9tlSPOOPdBy0YOFctGDRFQ72Gm52AoYcEpcXPPVfViz57BTWNDvltFoGD1INDEw96DLQNLEsh3dJfZpzWX0YMDZtoKRsZCI6TDSFqMHicKFuQcrwRIX4aVpkt9IzA3FRLWJ04MuxgilSQyWJiEi8h07LZeIJti02LVPa3EbIpxmIiLyHedQXEwbOPh6P7bcMweT66M4M5TB86+exKeuvsTvphERTXjstFzqYxpm/e4U3LfzUFERyPoYB6VERH7jldjFSFtYvbuvKLPC6t193O9DRBQAHGm5NMQjuHRyHPvvvzlfuXjLs8eYEYOIKAB4JXZJZiw8OP8arNrVl58e3LCoFcmMhUSM/11ERH7i9KCLbQOrdhVPD67a1Qfb9rtlRETETsuFm4uJiIKLnZZLrghkoVwRSCIi8lfVOi0ReUxE3hWRlwqONYnI0yLyivPxQue4iMhmETkmIn0iMqfgZ5Y6j39FRJZWq705mgZsWNRatLl4w6JWaOzeiYh8V81L8d8DuNV17D8DeEYpdTWAZ5yvAeA2AFc7/5YD2AJkOzkAXwNwI4AbAHwt19FVS11Ux8b9R4uKQG7cfxR1zBZOROS7qnVaSqnnAPS7Dt8OYLvz+XYAdxQc36GyfgFgiohMBTAfwNNKqX6l1PsAnsbwjnBcGWkLLRc1FB1ruaiB+7SIiALA6xjuS5VSbwOAUuptEcnlRroMwJsFjzvhHBvp+DAishzZURouv/zyihtYH9HQccPlWNnVmw9539TRhvoI5weJiPwWlI1HpbLRqlGODz+o1FYAW4FsPa1KGzJk2ug6cBzrFszKby7uOnAc936qBY06Oy4iIj953Wm9IyJTnVHWVADvOsdPAJhe8LhpAN5yjn/adfzZajawPqrhjtnTsHp3X3HuwSg7LCIiv3l9Jd4LIBcBuBTADwuOL3GiCD8O4ANnGnE/gM+KyIVOAMZnnWNVw9yDRETnZtsKAykTtnI+2hVPcJ2Xqo20RKQT2VHSRSJyAtkowP8G4AkR+WMAxwEsch7+IwCfA3AMgAHgiwCglOoXkb8G8EvncV9XSrmDO8YVcw8SEY3OthVODaaxorMnPyO1efFsNDfEoFW59qAo5U3v6KW5c+eq7u7uin7WSJk4PZTBA0+8mD8Z37zrekypjyLBjouICAMpE8u2d+P5107lj81raca2pXPRWPl1sqzejldhF1sp/KD7zaJAjB90v4l7b7rS76YR1STbVjAyFhIxHUbaQiKqV/1uncYmERsh3V2s+vtZ2Wm51Mf00oEYHpwMoonGz2kmqpyRzqa7KxxpfWxGE4y0NZaRVlkYEufCQAwi7xgZCys6e4rebys6e2Bk+H4LskRUx+bFs4vS3W1ePBsJDzIHcaTl0hCPlBz2MhCDaPz5Oc1EldM0QXNDDNuWzvV8WpcjLZfBlFkyy/tgyvSpRUS1KzfNVCg3zUTBpmmCxngEmjgfPZrOZafloouUzPKuC+fXicabn9NMFE4MeXexlcJXvt+L+z59VdE+rUfuboPGjoto3DF6kBwMea/EYMrEO2dSmP/oc/lj81qaMZgyMaku6mPLiGpTbpoJQNUjzyj8OD3okojpWL+weHpw/cJWLgwTEQUAb2tchjI2nuw5UbS5+MmeE9ks73H28UREfmKn5ZKI6lh84+VY0dlbsNmxjQvDREQBwE6rhJiu4eE7r8P0pgTe7DcQYx0tIqJAYKflYmQsfHnnofFOBElEROOAQwgX7tAnIgoudlou3KFPRBRc7LRcuEOfiCi4uEjj4mciSCIiGh07rRK4Q5+IKJg4PViCZdk4m8zAVgpnkxlYlu13k6gMtq0wkDJhK+ejXXt5NYkmOg4jXCzLxqnBNFZ2fbi5eFNHG5obYtC5XyuwWAGXyFt+JTrmVdjFyFhY2dVbVEl1ZVcvK6kGHCvgEnknd5O4bHs3Zq7dh2Xbu3FqMO3J7AY7LRdWLg4n7q8j8o6fN4nstFxYuTicuL+OyDt+3iSy03KJaoJNHW1F+7Q2dbQhynWRQOP+OiLv+HmTyMrFLratYKRNmLbC5PoozgxlENEEiViEC/oBxwq4RN6oUuATKxdXQnM6qNzcbETXePELCe6vI/KGn0kYOD1IREShwdtRF+73ISIanZ/XSY60XLjfh4hodAx5DxDu9yEiGh1D3gOE+32IiEbn53WSnZYL9/sQEY3Oz+sk92mVwP0+RESjq8J1kvu0iIioOvzaF8lOyyUbypnCis7eglDONjQ3xDnaIiLyGde0XIy0hRWdva5Qzl4GYhARBQBHWi6JuI5LJ8ex//6bcdUljTj27gC2PHsMiTgDMYiI/MZOyyWZtvDg/Guwaldffnpww6JWJNMWEsxnR0TkK04PulhKYdWuvqLpwVW7+mDVYJQlEVHYsNNyYeViIqLgYqflYqRG2OmdYiAGEZHf2Gm5aBqwYVFr0U7vDYtaofF/iojId5zzcqmL6ti4/yjWLZiVjx7cuP8oHrm7ze+mERFNeOy0XIy0hXfOpDD/0efyx+a1NMNIW6yGS0TkM056uTBhLhFRcHHo4KJpguaGGLYtncuEuUREAcNOqwS/EkESEdHoOD1IREShwU6LiIhCg50WERGFBjstIiIKDXZaREQUGuy0iIgoNNhpERFRaLDTIiKi0GCnRUREocFOi4iIQoOdFhERhQY7LSIiCg1RSvndhnEnIu8BeGMcftVFAE6Ow+8JIj63cOJzCyc+t3M7qZS69VwPqslOa7yISLdSaq7f7agGPrdw4nMLJz638cPpQSIiCg12WkREFBrstEa31e8GVBGfWzjxuYUTn9s44ZoWERGFBkdaREQUGhO+0xKRx0TkXRF5aYTvi4hsFpFjItInInO8bmOlynhunxaRD0Sk1/n3l163sVIiMl1E/kVEXhaRIyKyssRjQnnuynxuoTx3IlInIgdE5EXnuf1VicfEReT7znl7QURmeN/S81fmc/uCiLxXcN7+Xz/aWikR0UWkR0SeKvE9b86bUmpC/wNwM4A5AF4a4fufA7APgAD4OIAX/G7zOD63TwN4yu92VvjcpgKY43w+CcCvAXy0Fs5dmc8tlOfOOReNzudRAC8A+LjrMX8C4FvO5x0Avu93u8fxuX0BwP/wu61jeI5fAfAPpV57Xp23CT/SUko9B6B/lIfcDmCHyvoFgCkiMtWb1o1NGc8ttJRSbyulDjmfnwXwMoDLXA8L5bkr87mFknMuBpwvo84/98L67QC2O5//AMBnREQ8amLFynxuoSUi0wD8IYD/NcJDPDlvE77TKsNlAN4s+PoEauQC4pjnTGfsE5FZfjemEs40xGxk72wLhf7cjfLcgJCeO2eKqRfAuwCeVkqNeN6UUiaADwA0e9vKypTx3ABgoTNd/QMRme5xE8fiUQB/AcAe4fuenDd2WudW6k6hVu6eDgG4Qil1PYC/A/Ckz+05byLSCGA3gPuVUmfc3y7xI6E5d+d4bqE9d0opSynVBmAagBtE5FrXQ0J73sp4bv8EYIZSqhXAT/DhyCTQROQ/AHhXKXVwtIeVODbu542d1rmdAFB4NzQNwFs+tWVcKaXO5KYzlFI/AhAVkYt8blbZRCSK7EX9e0qpPSUeEtpzd67nFvZzBwBKqdMAngXgzjeXP28iEgFwAUI2zT3Sc1NKnVJKpZwvtwFo97hplfokgAUi8jqALgC3iMhO12M8OW/stM5tL4AlTiTaxwF8oJR62+9GjQcR+Z3cnLOI3IDs6+GUv60qj9Pu7wB4WSn1yAgPC+W5K+e5hfXcicjFIjLF+bwewO8D+DfXw/YCWOp8/kcAfqqc1f0gK+e5udZUFyC7Xhl4Sqk1SqlpSqkZyAZZ/FQpdY/rYZ6ct8h4/8KwEZFOZCOxLhKREwC+huwCKpRS3wLwI2Sj0I4BMAB80Z+Wnr8yntsfAbhPREwAQwA6wnBxcHwSwOcBHHbWEADgvwC4HAj9uSvnuYX13E0FsF1EdGQ72ieUUk+JyNcBdCul9iLbYT8uIseQvVPv8K+556Wc57ZCRBYAMJF9bl/wrbXjwI/zxowYREQUGpweJCKi0GCnRUREocFOi4iIQoOdFhERhQY7LSIiCg12WkREFBrstIiIKDTYaRF5REQaROSfnSS3L4nI3SLSLiL/W0QOisj+XMYEEVkmIr90HrtbRBLO8UXOz74oIs85x+pE5LsictipdfTvneNfEJE9IvJjEXlFRP67f8+eaHxwczGRR0RkIYBblVLLnK8vQLbe1+1KqfdE5G4A85VS94pIs1LqlPO4hwC8o5T6OxE57PyO34rIFKXUaRF5AMC1Sqkvisi/A/D/AZiJbEaCv0Q2S3wKwFEANyml3gRRSE34NE5EHjoMYKOIrAfwFID3AVwL4GknjaAOIJcb8Vqns5oCoBHAfuf4/w/g70XkCQC5RLo3IZvpHUqpfxORN5DttADgGaXUBwAgIr8CcAWKy7UQhQo7LSKPKKV+LSLtyOZDfBjA0wCOKKXmlXj43wO4Qyn1ooh8AdkcklBKfVlEbkS2GF+viLShdEmInFTB5xb4nqeQ45oWkUdE5HcBGEqpnQA2ArgRwMUiMs/5frSgmOMkAG87JUr+U8Hv+IhS6gWl1F8COIlsKYjnco8RkZnIJtY96tHTIvIU77qIvHMdgA0iYgPIALgP2Wzfm531rQiy1WGPAPivyFYrfgPZacVJzu/YICJXIzu6egbAi8iWv/iWs95lAviCUiolwa9QT3TeGIhBREShwelBIiIKDXZaREQUGuy0iIgoNNhpERFRaLDTIiKi0GCnRUREocFOi4iIQoOdFhERhcb/BfuVUbKVyGQEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4bbbe908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4bbc9c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4be41c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Scatter plot of only the highly correlated pairs\n",
    "for v,i,j in s_corr_list:\n",
    "    sns.pairplot(data_train, size=6, x_vars=data_desc[i],y_vars=data_desc[j] )\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "回归数据准备\n",
    "-----------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['season', 'holiday', 'weekday', 'workingday', 'weathersit', 'atemp',\n",
       "       'hum', 'windspeed'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#训练数据\n",
    "Y_train_casual = data_train['casual']\n",
    "Y_train_registered = data_train['registered']\n",
    "Y_train_cnt = data_train['cnt']\n",
    "\n",
    "#根据之前的分析temp和atemp高度正相关，可以只留一个atemp\n",
    "#dteday 与结果相关性很低，丢弃\n",
    "drop_list = ['dteday', 'temp','casual', 'registered','cnt']\n",
    "X_train = data_train.drop(drop_list, axis = 1)\n",
    "\n",
    "#测试数据\n",
    "Y_test_casual = data_test['casual']\n",
    "Y_test_registered = data_test['registered']\n",
    "Y_test_cnt = data_test['cnt']\n",
    "X_test = data_test.drop(drop_list, axis = 1)\n",
    "\n",
    "columns = X_train.columns\n",
    "columns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">### 数据预处理/特征工程"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Programs\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:16: FutureWarning: reshape is deprecated and will raise in a subsequent release. Please use .values.reshape(...) instead\n",
      "  app.launch_new_instance()\n",
      "D:\\Programs\\Anaconda3\\lib\\site-packages\\sklearn\\utils\\validation.py:475: DataConversionWarning: Data with input dtype int64 was converted to float64 by MinMaxScaler.\n",
      "  warnings.warn(msg, DataConversionWarning)\n",
      "D:\\Programs\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:17: FutureWarning: reshape is deprecated and will raise in a subsequent release. Please use .values.reshape(...) instead\n"
     ]
    }
   ],
   "source": [
    "# 数据标准化\n",
    "from sklearn.preprocessing import StandardScaler,MinMaxScaler\n",
    "\n",
    "# 分别初始化对特征和目标值的标准化器\n",
    "ss_X = MinMaxScaler()\n",
    "#ss_y_casual = StandardScaler()\n",
    "#ss_y_register = StandardScaler()\n",
    "ss_cnt_Y = MinMaxScaler()\n",
    "\n",
    "# 分别对训练和测试数据的特征以及目标值进行标准化处理\n",
    "X_train = ss_X.fit_transform(X_train)\n",
    "X_test = ss_X.transform(X_test)\n",
    "\n",
    "#对y做标准化不是必须\n",
    "#对y标准化的好处是不同问题的w差异不太大，同时正则参数的范围也有限\n",
    "Y_train_cnt = ss_cnt_Y.fit_transform(Y_train_cnt.reshape(-1, 1))\n",
    "Y_test_cnt = ss_cnt_Y.transform(Y_test_cnt.reshape(-1, 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "模型预测\n",
    "-------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">### 不带正则的线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>coef</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>[0.19617914585605623, -0.04660672266754001, 0....</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                coef\n",
       "0  [0.19617914585605623, -0.04660672266754001, 0...."
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 线性回归\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "# 使用默认配置初始化\n",
    "lr = LinearRegression()\n",
    "\n",
    "# 训练模型参数\n",
    "lr.fit(X_train, Y_train_cnt)\n",
    "\n",
    "# 预测\n",
    "y_test_cnt_pred_lr = lr.predict(X_test)\n",
    "y_train_cnt_pred_lr = lr.predict(X_train)\n",
    "\n",
    "# 查看各特征权重\n",
    "fs = pd.DataFrame({ \"coef\":list((lr.coef_))})\n",
    "fs.sort_values(by=['coef'],ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">### 模型评价"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of LinearRegression on test is -0.695670978041637\n",
      "The r2 score of LinearRegression on train is 0.7557813910164082\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import r2_score  #评价回归预测模型的性能\n",
    "\n",
    "# 使用r2_score评价模型在测试集和训练集上的性能\n",
    "print('The r2 score of LinearRegression on test is', r2_score(Y_test_cnt, y_test_cnt_pred_lr))\n",
    "#训练集\n",
    "print('The r2 score of LinearRegression on train is', r2_score(Y_train_cnt, y_train_cnt_pred_lr))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1cd4bd2a6a0>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4bc9f080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#在训练集上观察预测残差的分布，看是否符合模型假设：噪声为0均值的高斯噪声\n",
    "f, ax = plt.subplots(figsize=(7, 5)) \n",
    "f.tight_layout() \n",
    "ax.hist(Y_train_cnt - y_train_cnt_pred_lr,bins=40, label='Residuals Linear', color='b', alpha=.5); \n",
    "ax.set_title(\"Histogram of Residuals\") \n",
    "ax.legend(loc='best')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Fi0uEWHEJF/7MB/MYkID3bNJLQBTwKtCxhMcu6LfrZ7enqOpcYC54V3Ys4TFNkK1bt467776b0/v3E1P3KmLq/Pw+IBEYcK0VlHDkzxhML+BqYCuAqn4rIgVPz148+4H6+V7XA74NwH5NCMjKymLKlCnMmDGDK6+8kukv/5OX/nXJOfcixUZF2lwsYc6fLlKWbz4YBRCRCgE69hdAYxH5hYhE472h8t0iPmNKifnz5zN9+nTuu+8+tm3bxu8H3cK03i2oWzUWwTtlghWX8OdPC2aRiLwAVBWRYcBQYF5JD6yqOSLyALACiAT+oao7Srpf4x5VZd++fcTFxTFs2DCaNGnCjTf+NO+KXXFb9ki+yeouvJFIF7zLxgqwQlVXOR2sIAkJCZqcnOzGoU0RDh48yNChQ9m2bRs7d+6kevXqbkcyDhKRLaqaUNR2/gzyTlfV8cCqAt4zhqVLlzJs2DBOnTrFM888Q7Vq1dyOZEKEP2MwXQp4r1ugg5jSJysri2HDhtGrVy8aNGjA1q1bGTlyZKHXtpiy5YIFRkTuF5E04Fcikprv8TWQFryIJlRFRUXx/fffM2HCBDZu3MhVV13ldiQTYgrrIr0GfABMA/LfJ/SDqh5zNJUJWTk5OUyfPp1+/frRsGFDFi9eTESEv9drmrLmggVGVU8AJ0Tkz8AxVf0BbOG1smzPnj0MHDiQTZs2ISJMnDjRiosplC28Zoqkqrz00ku0atWKXbt28frrrzNx4kS3Y5lSwJ8C87OF17CpNsuUuXPnMnToUBISEkhNTaVvX1tkwvjHFl4zF5SRkUH58uUZOHAgqsrw4cOtS2SKxZ/flhFAB+AA3vuHrsUWXgtrZ86cYfTo0SQkJJCRkUGFChUYMWKEFRdTbLbwmjlHSkoKAwYMYOfOnYwePdqKiimRwlYV+L2qzhCRv1DwNAoPOZrMBFVubi7PPPMMkyZNombNmqxYsYLf/va3bscypVxhLZhdvq92808Z4PF4WLx4Mbfeeitz586lRo0abkcyYaCw62De8319JXhxTLAtXryYG264gRo1arBy5UoqV65sl/qbgCmsi/QeBXSN8qjqbY4kMkFx4sQJRo0aRVJSEpMmTeKJJ56gSpUqbscyYaawLtKffF97A5fhnSYToB/wXwczGYd98sknDBo0iAMHDjB16lS7aM44prAu0joAEfk/Vb0u37feE5ESrewoIncAfwSuAtqqqo3zBMmrr77K3XffTcOGDVm/fj3t2rVzO5IJY/6cg6wlIg3zXvhWFKhVwuN+ibdlZEvQBknexdhdunRh9OjRpKSkWHExjvOnwPwOWCsia0VkLfAxMKYkB1XVXaq6uyT7MP5RVf7617+SmJiIx+Ph0ksvZdasWVSsWNHtaKYM8OdCuw9FpDHwK99bX6lqprOxfiIiw/FdOdygQYNgHTYsfPfddwwdOpQPPviAxMRETp06ZQO5JqiKbMGISHngEeABVd0ONBCRW/z43GoR+bKAR4/iBFTVuaqaoKoJtWqVtGdWdvzzn/+kRYsWfPzxx8yePZv333/fiosJOn9udnwJ2ALkLRC8H3gLWFbYh1T1ppJFMxcrMzOTcePGUa9ePZKSkmjatKnbkUwZ5U+BuVJV7xKRfgCqekbsSqyQtHXrVq666ipiY2NZuXIl9erVIzo62u1Ypgzza+E1EYnlp4XXrgRKNAYjIr1EZD/eVtFyEVlRkv2VdTk5OTzxxBO0bduWp556CoCGDRtacTGu86cF8xjwIVBfRJLwrkk9pCQHVdV3gHdKsg/jtXfvXgYNGsSGDRvo168f48aNczuSMT8qtMD4ukJf4b1mpR3ehddGq+rRIGQzRVi2bBn9+/cnIiKCpKQk+vfv73YkY85RaIFRVRWRparaBlgepEzGT40aNeLXv/41c+bM4YorrnA7jjE/488YzCYRucbxJMYvK1euZPTo0agqv/rVr3j//fetuJiQ5U+BuQFvkdnjW3gtTURSnQ5mznX27FnGjBlD165dWbVqFenp6W5HMqZI/gzy2jKxLktNTaV///7s2LGDBx98kOnTpxMbG+t2LGOKVNh8MOXwTvjdCO9SsfNVNSdYwYxXZmYm3bt3x+Px/HjJvzGlRWEtmFeAbOBTvK2YpsDoYIQycPDgQS699FJiYmJYtGgRjRs3xm6VMKVNYWMwTVV1oKq+APQBOgUpU5m3aNEimjZtyqxZswDo0KGDFRdTKhVWYLLznljXKDhOnDjB3XffzV133UWTJk3o0aNY94UaE3IK6yK1FJGTvucCxPpeC95LZCo7nq4M2bhxI/369WP//v089thjTJ48mUsusRV6TelW2JSZkcEMUtbl5OQQHR3Np59+Svv27Yv+gDGlgC3b56KvvvqK2bNnA9CpUyd27txpxcWEFSswLlBV5syZQ+vWrXn88cc5fvw4gHWJTNixAhNkhw4d4tZbb2XkyJFcd911bN++nWrVqrkdyxhH2J/MIMrMzKRt27YcOnSI559/nlGjRtni8iasuVJgRGQmcCuQBewB7lHVsL25JjMzk5iYGGJiYpg5cybNmjWjWbNmbscyxnFu/flcBTRX1XjgX8AfXMrhuOTkZOLj43nttdcAuPPOO624mDLDlQKjqivzXby3CajnRg4neTwennzySdq3b09GRgZ16tRxO5IxQRcKYzBDgTcv9M3SuC7S119/zaBBg/jss8/o27cvf/vb32wg15RJjhUYEVkNXFbAtyap6j9920wCcoCkC+1HVecCcwESEhLUgagBt2XLFtLS0nj11Vfp378/tgiDKascKzBFrYskIoOBW4DfaN7CyaXYsWPH2LhxIzfffDN9+vShc+fO1KxZ0+1YxrjKlTEYEUkExgO3qWqGGxkCafXq1bRo0YK+ffv+eNGcFRdj3DuLNBuoBKwSkRQR+btLOUrk7NmzjB07li5dulC5cmXWrVtnYy3G5OPKIK+qNnLjuIGUmZlJu3bt2L59O6NGjWLGjBmUL1/e7VjGhBS7jLSY8oaLYmJi6NevH8uXL2f27NlWXIwpgBWYYjhw4ACJiYmsW7cOgPHjx9O9e3eXUxkTuqzA+Gnx4sW0aNGC9evXc/DgQbfjGFMqWIEpwsmTJxkyZAh33HEHjRo1IiUlhb59+7ody5hSwQpMEd544w0WLlzIo48+ymeffUbjxo3djmRMqREKtwqEnOzsbHbt2kV8fDz33Xcf1157LS1btnQ7ljGljrVgzrN79246dOhA586dOX78OBEREVZcjLlIVmB8VJUXXniB1q1bs3fvXl588UW7aM6YErIuEt6L5vr06cOyZcvo0qULL7/8sk2vYEwAWAsG70Vzl156Kc899xwffvihFRdjAqTMFpiMjAweeughduzYAcC8efMYPXq0zZFrTACVyS7Sli1bGDBgALt376Zx48Y2haUxDilTf649Hg/Tpk2jXbt2nDp1ijVr1vDggw+6HcuYsFWmCsycOXOYOHEivXv3JjU1lRtvvNHtSMaEtbDvIqkqR48epVatWgwbNow6derQq1cvm8bSmCBwa0a7/xORVN9kUytFxJHTNseOHaNv375cc801nDx5kpiYGHr37m3FxZggcauLNFNV41W1FbAMmBLoA6xZs4b4+HiWLFnCiBEjqFChQqAPYYwpglvrIp3M97ICELBJv7Ozs3n44Ye56aabqFixIps2bWLChAlERkYG6hDGGD+5NsgrIk+KyP+AAQSwBRMZGcnWrVsZOXIkW7dupU2bNoHatTGmmMSpFUP8WRfJt90fgHKq+tgF9pN/4bU2+/btK/LYWVlZREdHX1RuY0zRRGSLqiYUuZ3bSxKJyBXAclVtXtS2CQkJmpycHIRUxpjC+Ftg3DqLlH/WptuAr9zIYYxxllvXwTwtIk2AXGAfMMKlHMYYB7m1LtLtbhzXGBNcZepWAWNMcFmBMcY4xvWzSMUhIkfwjtkUpSZw1OE4/gqVLKGSA0Ini+X4OX+zXKGqtYraqFQVGH+JSLI/p9CCIVSyhEoOCJ0sluPnAp3FukjGGMdYgTHGOCZcC8xctwPkEypZQiUHhE4Wy/FzAc0SlmMwxpjQEK4tGGNMCLACY4xxTNgWmGBNy+lHjpki8pUvyzsiUtWNHL4sd4jIDhHJFZGgnxYVkUQR2S0i/xGRCcE+fr4c/xCRwyLypVsZfDnqi8jHIrLL9+8y2qUc5UTkcxHZ7ssxNWA7V9WwfACV8z1/CPi7Szl+C1ziez4dmO7iz+QqoAmwFkgI8rEjgT1AQyAa2A40denncB3QGvjSrX8LX47Lgda+55WAf7nxMwEEqOh7HgVsBtoFYt9h24JRB6flLGaOlaqa43u5CajnRg5fll2qutulw7cF/qOqe1U1C3gD6OFGEFX9BDjmxrHPy3FQVbf6nv8A7ALqupBDVfWU72WU7xGQ/y9hW2DAuWk5S2Ao8IHbIVxSF/hfvtf7ceE/U6gSkTjgarytBzeOHykiKcBhYJWqBiRHqS4wIrJaRL4s4NEDQFUnqWp9IAl4wK0cvm0mATm+LI7xJ4tLClorxq6RAESkIvA2MOa8lnfQqKpHvat81APaikiRM0z6o1QvvKaqN/m56WvAcqDAeX+dziEig4FbgN+or6PrlGL8TIJtP1A/3+t6wLcuZQkZIhKFt7gkqeoSt/OoarqIrAUSgRIPgpfqFkxhQmVaThFJBMYDt6lqhhsZQsQXQGMR+YWIRAN9gXddzuQq8a4AOB/YparPupijVt7ZTRGJBW4iQP9fwvZKXhF5G+8Zkx+n5VTVAy7k+A8QA3zve2uTqroyRaiI9AL+AtQC0oEUVe0axON3B57De0bpH6r6ZLCOfV6O14HOeKcmOAQ8pqrzXcjxa+BTIA3v7ynARFV9P8g54oFX8P67RACLVPXxgOw7XAuMMcZ9YdtFMsa4zwqMMcYxVmCMMY6xAmOMcYwVGGOMY0r1hXYmcESkBrDG9/IywAMc8b1u67t/KOSJSHXgTlX9u9tZjJ2mNgUQkT8Cp1T1T+e9L3h/Z3IL/GAIEJFGwGLfZe/GZdZFMoUSkUa+e5n+DmwF6otIer7v9xWReb7nl4rIEhFJ9s0v0q6A/V0iIrN8+0wVkZG+97v45u5JE5EXfVf7IiL7811l2k5EVvuePyEi80VknYjsFZFRvkM8DTTx7etpJ382pmjWRTL+aArco6ojRKSw35nngRmqusl3d/Ay4Pyb5u4H6gAtVdUjItVFpDzwD6Czqu4RkSRgODC7iFy/BH4DVAV2+YrgBKCRtWBCgxUY4489qvqFH9vdhLf1kPe6mojEquqZ87Z5TlU9AKp6TETaAP9W1T2+bRYA91J0gVnmGxs6LCLH8N4CYUKIFRjjj9P5nudy7tQL5fI9F4oeEBZ+Pk1DQVM55Mnhp658ufO+l5nvuQf7fQ45NgZjisU3wHtcRBqLSATQK9+3VwN5YyGISEHdlJXA/SIS6dumOrAT753WDX3bDATW+Z7/F2jje367HxF/wDv9pAkBVmDMxRgPfIj3tPb+fO+PAjr6Bm93AsMK+OwLwHdAqohsx3tKOQNvl2iJiKThbZm86Nv+j8DfRORToMhT5ap6CEj2DRbbIK/L7DS1McYx1oIxxjjGCowxxjFWYIwxjrECY4xxjBUYY4xjrMAYYxxjBcYY45j/D80lTWQltAbhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4bc110b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#还可以观察预测值与真值的散点图\n",
    "plt.figure(figsize=(4, 3))\n",
    "plt.scatter(Y_train_cnt, y_train_cnt_pred_lr)\n",
    "plt.plot([-3, 3], [-3, 3], '--k')   #数据已经标准化，3倍标准差即可\n",
    "plt.axis('tight')\n",
    "plt.xlabel('True count')\n",
    "plt.ylabel('Predicted count')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Programs\\Anaconda3\\lib\\site-packages\\sklearn\\utils\\validation.py:578: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([ 0.19599729, -0.0430077 ,  0.02928987,  0.00599521, -0.20318869,\n",
       "        0.70136046, -0.0662784 , -0.15455893])"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 线性模型，随机梯度下降优化模型参数\n",
    "from sklearn.linear_model import SGDRegressor\n",
    "\n",
    "# 使用默认配置初始化线\n",
    "sgdr = SGDRegressor(max_iter=1000)\n",
    "\n",
    "# 训练：参数估计\n",
    "sgdr.fit(X_train, Y_train_cnt)\n",
    "\n",
    "# 预测\n",
    "#sgdr_y_predict = sgdr.predict(X_test)\n",
    "\n",
    "sgdr.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The value of default measurement of SGDRegressor on test is -0.7043496468373474\n",
      "The value of default measurement of SGDRegressor on train is 0.7553859450085944\n"
     ]
    }
   ],
   "source": [
    "# 使用SGDRegressor模型自带的评估模块(评价准则为r2_score)，并输出评估结果\n",
    "print('The value of default measurement of SGDRegressor on test is', sgdr.score(X_test, Y_test_cnt))\n",
    "print('The value of default measurement of SGDRegressor on train is', sgdr.score(X_train, Y_train_cnt))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">### 正则化线性回归 L2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of RidgeCV on test is -0.6980362110791423\n",
      "The r2 score of RidgeCV on train is 0.7557646932776789\n"
     ]
    }
   ],
   "source": [
    "#岭回归／L2正则\n",
    "from sklearn.linear_model import  RidgeCV\n",
    "\n",
    "#设置超参数（正则参数）范围\n",
    "alphas = [ 0.01, 0.1, 1, 10,100]\n",
    "\n",
    "#生成一个RidgeCV实例\n",
    "ridge = RidgeCV(alphas=alphas, store_cv_values=True)  \n",
    "\n",
    "#模型训练\n",
    "ridge.fit(X_train, Y_train_cnt)    \n",
    "\n",
    "#预测\n",
    "y_test_cnt_pred_ridge = ridge.predict(X_test)\n",
    "y_train_cnt_pred_ridge = ridge.predict(X_train)\n",
    "\n",
    "\n",
    "# 评估，使用r2_score评价模型在测试集和训练集上的性能\n",
    "print('The r2 score of RidgeCV on test is', r2_score(Y_test_cnt, y_test_cnt_pred_ridge))\n",
    "print('The r2 score of RidgeCV on train is', r2_score(Y_train_cnt, y_train_cnt_pred_ridge))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4bbf8438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "alpha is: 0.1\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>coef_lr</th>\n",
       "      <th>coef_ridge</th>\n",
       "      <th>columns</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>[0.7053785824226636]</td>\n",
       "      <td>[0.7008226899456687]</td>\n",
       "      <td>atemp</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>[0.19617914585605623]</td>\n",
       "      <td>[0.1967301142350335]</td>\n",
       "      <td>season</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>[0.02690812071901903]</td>\n",
       "      <td>[0.026811415601724065]</td>\n",
       "      <td>weekday</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>[0.004312125431966022]</td>\n",
       "      <td>[0.004463600854263561]</td>\n",
       "      <td>workingday</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>[-0.04660672266754001]</td>\n",
       "      <td>[-0.04611743784608491]</td>\n",
       "      <td>holiday</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>[-0.10728797279241947]</td>\n",
       "      <td>[-0.10384602589327674]</td>\n",
       "      <td>hum</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>[-0.1739315098666776]</td>\n",
       "      <td>[-0.17169960934474027]</td>\n",
       "      <td>windspeed</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>[-0.18803737475538637]</td>\n",
       "      <td>[-0.18899527519617632]</td>\n",
       "      <td>weathersit</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  coef_lr              coef_ridge     columns\n",
       "5    [0.7053785824226636]    [0.7008226899456687]       atemp\n",
       "0   [0.19617914585605623]    [0.1967301142350335]      season\n",
       "2   [0.02690812071901903]  [0.026811415601724065]     weekday\n",
       "3  [0.004312125431966022]  [0.004463600854263561]  workingday\n",
       "1  [-0.04660672266754001]  [-0.04611743784608491]     holiday\n",
       "6  [-0.10728797279241947]  [-0.10384602589327674]         hum\n",
       "7   [-0.1739315098666776]  [-0.17169960934474027]   windspeed\n",
       "4  [-0.18803737475538637]  [-0.18899527519617632]  weathersit"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mse_mean = np.mean(ridge.cv_values_, axis = 0)\n",
    "plt.plot(np.log10(alphas), mse_mean.reshape(len(alphas),1)) \n",
    "\n",
    "plt.xlabel('log(alpha)')\n",
    "plt.ylabel('mse')\n",
    "plt.show()\n",
    "\n",
    "print ('alpha is:', ridge.alpha_)\n",
    "\n",
    "# 看看各特征的权重系数，系数的绝对值大小可视为该特征的重要性\n",
    "fs = pd.DataFrame({\"columns\":list(columns), \"coef_lr\":list((lr.coef_.T)), \"coef_ridge\":list((ridge.coef_.T))})\n",
    "fs.sort_values(by=['coef_lr'],ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">### 正则化线性回归 L1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Programs\\Anaconda3\\lib\\site-packages\\sklearn\\linear_model\\coordinate_descent.py:1094: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  y = column_or_1d(y, warn=True)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of LassoCV on test is -0.6974110387388925\n",
      "The r2 score of LassoCV on train is 0.7557736491801126\n"
     ]
    }
   ],
   "source": [
    "#### Lasso／L1正则\n",
    "from sklearn.linear_model import LassoCV\n",
    "\n",
    "lasso = LassoCV()  \n",
    "\n",
    "#训练（内含CV）\n",
    "lasso.fit(X_train, Y_train_cnt)  \n",
    "\n",
    "#测试\n",
    "y_test_cnt_pred_lasso = lasso.predict(X_test)\n",
    "y_train_cnt_pred_lasso = lasso.predict(X_train)\n",
    "\n",
    "\n",
    "# 评估，使用r2_score评价模型在测试集和训练集上的性能\n",
    "print('The r2 score of LassoCV on test is', r2_score(Y_test_cnt, y_test_cnt_pred_lasso))\n",
    "print('The r2 score of LassoCV on train is', r2_score(Y_train_cnt, y_train_cnt_pred_lasso))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ErKmuZ39TK1ecof6KMCR1x4q7/6eZXQUcBKYCt7v706FWJiJyAp5av5e8iPH+KQqLMCQVFsFpp2fd/WkzmwpMNbM8d28LtzwRkcTcnSfX7uHSSSMY3D8v1eVkpGRPQ70IFJjZWGKnoD4P/E9YRYmInIg11Q3sqj/CR84Zk+pSMlayYWHufhj4JPA9d78GmBZeWSIiyXty7W7yIsZV03TJbFiSDgszuwi4HngymKcRukQk5Y6egrp8cjGD++kUVFiSDYt/AG4DngiedlcGPBteWSIiyXljZz27G5r5yDmjU11KRkv26OAw0AFcZ2afAYzgngsRkVR6cu0e8iM5fECnoEKVbFj8DLgFWE8sNJJiZnOA/yb2DO4fuft/dFpeAPwEuBDYD1zr7tuCZecAPwAGBZ85I3gMq4gIAB0dztJ1e7h8SjGDCnUKKkzJhkWNu//2RN7YzCLAPcBVQDWw0syWuPvGuGYLgQPuPsnMFgB3AteaWS6xsaducPc1ZjYc0GW6InKMN3YeYE9DM1+ec0aqS8l4yYbF18zsR8AzQMvRme7+xHHWmQlUunsVgJk9AswF4sNiLvD1YPox4G4zM+CDwFp3XxN8zv4k6xSRLPLE67soyM3hSo0yG7pkw+LzwBnERps9ehrKgeOFxVhgZ9zramBWd23cPWpmDcBwYArgZrYMKAYecfdvJVmriGSB5rZ2lqzZzdVnn8ZAnYIKXbJhca67Tz/B97Yu5nXuFO+uTS5wKTCDWOf6M2a2yt2fOWZls0XAIoBx48adYHki0pct27CXQ81R5peXprqUrJDspbPLzexEb8KrBuL3Ygmwu7s2QT/FYKAumP+Cu9cGNwMuBS7o/AHufr+7l7t7eXGxnrcrkk0eW1XN2CH9uGji8FSXkhWSDYtLgdVm9qaZrTWzdWa2NsE6K4HJZlZmZvnAAmBJpzZLgBuD6XnExp9yYBlwjpn1D0LkfRzb1yEiWWxX/RH+VFnLvAtLyMnp6gSF9LRkT0PNOdE3Dvogbib2xR8BHgxu6LsDqHD3JcADwGIzqyR2RLEgWPeAmf0XscBxYKm7P9nlB4lI1nliVTXuMO/CklSXkjWSHaJ8+8m8ubsvJXYKKX7e7XHTzcD8btb9KXp0q4h00tHh/HJVNRdNHE7psP6pLidr6HFSItKnvLatjh11h5lfrqOK3qSwEJE+5eEVOxhYkMucs09LdSlZRWEhIn3GOwebWbpuD5+aUUr/fA183ZsUFiLSZ/xsxQ7a3fnsReNTXUrWUViISJ/QEm3n4RXbuWLqSMYPL0p1OVlHYSEifcKTa/dQ29jK5y6ZkOpSspLCQkTSnrvz45e3cXpxEZdOGpHqcrKSwkJE0t7rO+pZt6uBz108gdjA1NLbFBYikvZ+9FIVAwtz+eQFurciVRQWIpLW3n7nEE9t2MuNF02gqECXy6aKwkJE0tq9z2+hMDfCFy4tS3UpWU1hISJpa/v+Jn6zehefmT2OYUX5qS4nqyksRCRtff/5LeRGcrjpsompLiXrKSxEJC3tqj/C469Xs2BGKSMHFaa6nKynsBCRtHTf81twhy++7/RUlyIoLEQkDW2tbeLnr+3g2hmljB3SL9XlCAoLEUlD3162mfzcHP7hA5NTXYoEFBYiklZe33GApev2sujyiYwcqL6KdBFqWJjZHDN708wqzey2LpYXmNmjwfIVZjYhmD/BzI6Y2erg574w6xSR9ODu/MfSzYwYUKAroNJMaLdDmlkEuAe4CqgGVprZEnffGNdsIXDA3SeZ2QLgTuDaYNkWdz8vrPpEJP38cdM+XttWxzevOVt3a6eZMI8sZgKV7l7l7q3AI8DcTm3mAg8F048BV5pGCRPJSs1t7fz70k1MLC7i2vLSVJcjnYQZFmOBnXGvq4N5XbZx9yjQAAwPlpWZ2Rtm9oKZXdbVB5jZIjOrMLOKmpqanq1eRHrVfS9sYWttE3d8/GxyI+pOTTdh7pGujhA8yTZ7gHHufj7wJeBhMxv0Zw3d73f3cncvLy4uPuWCRSQ1ttY2ce9zW/jYuWO4dLKeV5GOwgyLaiD+WLIE2N1dGzPLBQYDde7e4u77Adx9FbAFmBJirSKSIu7O7b9ZT0FuDv/ykTNTXY50I8ywWAlMNrMyM8sHFgBLOrVZAtwYTM8DnnV3N7PioIMcM5sITAaqQqxVRFLkt2v38NLbtdzyoaka1iONhXa5gbtHzexmYBkQAR509w1mdgdQ4e5LgAeAxWZWCdQRCxSAy4E7zCwKtAN/5e51YdUqIqlR29jCHb/dwPSxg/nM7PGpLkeOI9Rr09x9KbC007zb46abgfldrPc48HiYtYlIark7X3liHQePRPnZX55LJEcXQqYzXXIgIinxy1XVPL3xHf75Q1OZetrAVJcjCSgsRKTX7aw7zB2/3cissmEs1BPw+gSFhYj0qrb2Dr70i9UAfOdT55Kj0099gu6nF5Fe9a2nNrNy2wG+e+15lAztn+pyJEk6shCRXrN03R5++NJWbpg9nk+c33lAB0lnCgsR6RWV+xr551+u4fxxQ/iXj05LdTlyghQWIhK6hiNt/NVPV1GYF+He6y8gP1dfPX2N+ixEJFQt0Xa+uLiC7fub+MkXZjF6sB6T2hcpLEQkNO7ObY+vY3lVHXddey4XnT488UqSlnQsKCKh+c4f3uJXb+zilg9O4ZrzS1JdjpwChYWIhOK+F7Zw93OVLJhRyt/+xaRUlyOnSGEhIj3uRy9V8R+/38zHzh3DN6+Zjh6A2fcpLESkRz30yjb+7clNfHj6adz1KQ0QmCnUwS0iPcLd+f4LW/jWU2/yobNG8d8LztfjUTOIwkJETllHh/NvT27iwZe3Mve8MXx73rnkKSgyisJCRE5JS7SdWx9by29W7+YLl5Txfz9ypgYHzEAKCxE5afsONfNXi1fx+o56bp0zlb9+3+nqzM5QoR4nmtkcM3vTzCrN7LYulheY2aPB8hVmNqHT8nFm1mhmt4RZp4icuDU76/n4915m055D3Hv9BfzN+ycpKDJYaGFhZhHgHuBqYBpwnZl1Hj1sIXDA3ScBdwF3dlp+F/D7sGoUkRPn7vx0+Xbm/+BVciPG4399MR+ePjrVZUnIwjwNNROodPcqADN7BJgLbIxrMxf4ejD9GHC3mZm7u5l9AqgCmkKsUUROQP3hVm57fB1PbdjL5VOK+e615zGsKD/VZUkvCDMsxgI7415XA7O6a+PuUTNrAIab2RHgy8BVgE5BiaSBFVX7+cdHV1PT2MJXP3wmCy8tU0d2FgkzLLr6K/Ik2/wrcJe7Nx7vHKiZLQIWAYwbN+4kyxSR42lr7+C7f3yLe5/fwvhh/Xn8ry/mnJIhqS5LelmYYVENlMa9LgF2d9Om2sxygcFAHbEjkHlm9i1gCNBhZs3ufnf8yu5+P3A/QHl5eecgEpFTtLehmUWLK1hb3cCCGaX8y0enUVSgiyizUZh7fSUw2czKgF3AAuDTndosAW4EXgXmAc+6uwOXHW1gZl8HGjsHhYiEqyXazhd/uoot+xr5/vUXcLU6sbNaaGER9EHcDCwDIsCD7r7BzO4AKtx9CfAAsNjMKokdUSwIqx4ROTHffHITa3bWc99nLmDO2QqKbBfq8aS7LwWWdpp3e9x0MzA/wXt8PZTiRKRbv35jFz95dTuLLp+ooBBAo86KSCeb9x7ktifWMrNsGLd+aGqqy5E0obAQkXfVHGph4f9UMKgwj7s/rVFj5T26rEFEAGhua+emn1RQ19TKL754ESMHFqa6JEkjCgsRoaPDueWXa1hTXc/3r7+Q6SWDU12SpBkdY4oI33n6TX63dg+3zTmDOWeflupyJA0pLESy3OJXt3HPc1u4buY4Fl0+MdXlSJpSWIhksafW7+H2JRv4wJmj+MbcszTEuHRLYSGSpVZU7efvH1nN+aVD+N51uvJJjk9/HSJZ6I0dB1j4UAWlQ/vxwI0z6JcfSXVJkuYUFiJZZv2uBj774GsMK8rnZ385m6F6HoUkQWEhkkU27z3IDQ+sYFBhHg/fNIvTButeCkmOwkIkS6zeWc+C+5eTn5vDwzfNomRo/1SXJH2IwkIkC7xSWcv1P1zOoMI8fvnFixk/vCjVJUkfozu4RTLcU+v38vc/f4OyEUUsXjiTkYN06klOnMJCJEO5O/e9UMW3lm3mvNIh/PhzMxjSX53ZcnIUFiIZqCXazleeWMcTr+/iY+eO4dvzzqEwT5fHyslTWIhkmF31R7j54dd5Y0c9X7pqCn93xSTdmS2nTGEhkkGe2fQOX/rFGto7nHuvv4AP67nZ0kNCvRrKzOaY2ZtmVmlmt3WxvMDMHg2WrzCzCcH8mWa2OvhZY2bXhFmnSF/X3NbOv/1uIwsfqmDskH789u8uVVBIjwrtyMLMIsA9wFVANbDSzJa4+8a4ZguBA+4+ycwWAHcC1wLrgXJ3j5rZaGCNmf3W3aNh1SvSV1Vsq+PWx9ZSVdvEZ2aP4/9+ZJr6J6THhXkaaiZQ6e5VAGb2CDAXiA+LucDXg+nHgLvNzNz9cFybQsBDrFOkT9rb0My9z1eyePl2xgzux+KFM7lscnGqy5IMFWZYjAV2xr2uBmZ11yY4imgAhgO1ZjYLeBAYD9ygowqRmMp9h/jBC1X8evUu2jucG2aP59Y5ZzCgQF2QEp4w/7q6uvyi8xFCt23cfQVwlpmdCTxkZr939+ZjVjZbBCwCGDdu3KlXLJKmWqLtPLV+Lz9/bQfLq+oozMvhupnjuOmyiZQO07AdEr4ww6IaKI17XQLs7qZNtZnlAoOBuvgG7r7JzJqAs4GKTsvuB+4HKC8v16kqySjtHc5rW+tYsmY3v1+/h/rDbZQO68c/f2gqC2aUMnxAQapLlCwSZlisBCabWRmwC1gAfLpTmyXAjcCrwDzgWXf3YJ2dwamp8cBUYFuItYqkhdZoB69W7efpjXv5w4Z32HeohX55Ea6aNor55SVccvoIcnJ0z4T0vtDCIviivxlYBkSAB919g5ndAVS4+xLgAWCxmVUSO6JYEKx+KXCbmbUBHcDfuHttWLWKpNKO/Yd58e0aXnyrhle27KexJUq/vAjvm1LMR84ZzZVnjqR/vvojJLXMPTPO3pSXl3tFRUXihiIp1NHhbKlpZNX2A7y2tY4VW+vYVX8EgLFD+nH5lBF84MxRXDJphC5/lV5hZqvcvTxRO/1zRSQkbe0dVNU0sWnPQTbuOcj6XQ2srW6gsSV2Yd/wonxmlg3jpsvKuGxKMRNHFGlYDklbCguRU9DR4ew71MKOusNs29/E9v1NVNU08fa+RrbVNhHtiB255+fmMHXUQK45fyznlg7hvNIhnF6scJC+Q2Eh0gV3p7Elyv7GVmobW6g51EJNYwt7G5rZe7CZvQ3N7K4/wu76ZlrbO95dLzfHGDesP5NGDuCD00YxZdRApo0ZxMQRReRG9Kwx6bsUFpKxou0dNLW209QSpbElyqHmNg41RznYHOXgkTYONrfRcLiNhiNt1B9uo/5IK/WH2zhwuJUDTW3HhMBRuTnGqEGFnDa4kLPHDmbO2aMpGdqP0mH9KRtexJghhQoFyUgKC0mKu9Ph0OFOhzv+7nTst3dAuzvtHbHl7R3HTne4E+14b/7Rn2iHE2132to7gp/YdGu0g5bg99Gflmg7zW2x30fa2mlp66C5LTZ9uLWdI63tHG6LcrilnabWKM1tf/5l31l+JIch/fMY3C+Pof3zKR3Wn+ljBzNsQD4jigoYVpTPiIEFFA8oYMTAfIYXFRDRpauShbI+LDbvPcjND7/R5bLurhTzbl903y7+vY6dH9/ej5nf+ePd32vh3kX7d9/PO83zd5cdreNos464ZUen4+cfDYZ0kBcxCnIjFOTmUJgXoSAvh8LcCP3zIwwszGXkwAKKCnLpnx+bN6Agj6KCCAMKchlYmMeAwlwGFEQYVJjHoH55DCrMozAvR/0GIknI+rAozI0wddTA7ht08z0SP/t4XzbHtku8/jHvZGDBnKNN7JhpO/Y9LZhr772P2XvtrPNnGeSYvfueOUEjw8g5usxi6+QE8yM5sddmEDF7t01O0CaSY+TkWGxZ8PvovNyc2HTEjEgkeG1GbiSHvIiRF8kJfoz83BzyIzkU5Eac/6HwAAAGz0lEQVRi07k5+he9SAplfVhMGFHEPddfkOoyRETSmnriREQkIYWFiIgkpLAQEZGEFBYiIpKQwkJERBJSWIiISEIKCxERSUhhISIiCWXMw4/MrAbYnuo6TtIIIFOeBJgp25Ip2wHalnSUTtsx3t2LEzXKmLDoy8ysIpknVfUFmbItmbIdoG1JR31xO3QaSkREElJYiIhIQgqL9HB/qgvoQZmyLZmyHaBtSUd9bjvUZyEiIgnpyEJERBJSWKSQmd1iZm5mI7pZfqOZvR383Njb9SXDzL5hZmvNbLWZ/cHMxnTTrj1os9rMlvR2nYmcwHb0hX3ybTPbHGzPr8xsSDfttpnZumCbK3q7zmScwLbMMbM3zazSzG7r7ToTMbP5ZrbBzDrMrNuroNJ5n+g0VIqYWSnwI+AM4EJ3r+20fBhQAZQTewrqqqDdgd6u9XjMbJC7Hwym/x6Y5u5/1UW7Rncf0OsFJimZ7ehD++SDwLPuHjWzOwHc/ctdtNsGlHf+20snyWyLmUWAt4CrgGpgJXCdu2/s7Xq7Y2ZnAh3AD4Bb3L3LIEjnfaIji9S5C7iV7p/i/SHgaXevC76Mngbm9FZxyTr6BRso4rhPJU9fSW5HX9knf3D3aPByOVCSynpORZLbMhOodPcqd28FHgHm9laNyXD3Te7+ZqrrOBUKixQws48Du9x9zXGajQV2xr2uDualHTP7ppntBK4Hbu+mWaGZVZjZcjP7RC+Wl7QktqPP7JM4XwB+380yB/5gZqvMbFEv1nSyutuWvrhfupO2+yTrn8EdFjP7I3BaF4u+Cvwf4IOJ3qKLeSn5V/vxtsXdf+PuXwW+amZfAW4GvtZF23HuvtvMJgLPmtk6d98SYtl/pge2o8/sk6DNV4Eo8LNu3uaSYJ+MBJ42s83u/mI4FXevB7YlLfZLMtuRhLTYJ11RWITE3T/Q1Xwzmw6UAWvMDGKH1a+b2Ux33xvXtBp4f9zrEuD5UIpNoLtt6cLDwJN0ERbuvjv4XWVmzwPnA70aFj2wHX1mnwSd7x8FrvRuOibj9sk+M/sVsdM5vf7F1APbUg2Uxr0uAXb3XIXJOYG/r+O9R1rsk67oNFQvc/d17j7S3Se4+wRif+gXdAoKgGXAB81sqJkNJXYksqyXy03IzCbHvfw4sLmLNkPNrCCYHgFcAqRN5yMktx30nX0yB/gy8HF3P9xNmyIzG3h0mti2rO+9KpOTzLYQ69CebGZlZpYPLADS7oq7RNJ+n7i7flL4A2wDRgTT5cCP4pZ9AagMfj6f6lq7qf9xYn/Qa4HfAmM7bwtwMbAOWBP8Xpjquk9mO/rQPqkkdg5/dfBzXzB/DLA0mJ4Y7I81wAZip0pSXvvJbEvw+sPErojako7bAlxD7B+GLcA7wLK+tk906ayIiCSk01AiIpKQwkJERBJSWIiISEIKCxERSUhhISIiCSksJOuZWeMprv9YcGf68do8f7zRRpNt06l9sZk9lWx7kVOhsBA5BWZ2FhBx96re/mx3rwH2mNklvf3Zkn0UFiIBi/m2ma0PnilwbTA/x8zuDZ5H8DszW2pm84LVrgd+E/ce3w8GTNxgZv/azec0mtl3zOx1M3vGzIrjFs83s9fM7C0zuyxoP8HMXgrav25mF8e1/3VQg0ioFBYi7/kkcB5wLvAB4NtmNjqYPwGYDvwlcFHcOpcQe67FUV9193LgHOB9ZnZOF59TBLzu7hcAL3DsGFS57j4T+N9x8/cBVwXtrwX+X1z7CuCyE99UkROjgQRF3nMp8HN3bwfeMbMXgBnB/F+6ewew18yei1tnNFAT9/pTwdDSucGyacSGEInXATwaTP8UeCJu2dHpVcQCCiAPuNvMzgPagSlx7fcRGzJCJFQKC5H3dDXU9fHmAxwBCgHMrAy4BZjh7gfM7H+OLksgfsydluB3O+/9//mPxMYTOpfY2YDmuPaFQQ0iodJpKJH3vAhca2aRoB/hcuA14E/A/wr6LkZx7DDlm4BJwfQgoAloCNpd3c3n5ABH+zw+Hbz/8QwG9gRHNjcAkbhlU0inkUklY+nIQuQ9vyLWH7GG2L/2b3X3vWb2OHAlsS/lt4AVQEOwzpPEwuOP7r7GzN4gNmJoFfByN5/TBJxlZquC97k2QV33Ao+b2XzguWD9o/4iqEEkVBp1ViQJZjbA3RvNbDixo41LgiDpR+wL/JKgryOZ92p09wE9VNeLwFyPPRNcJDQ6shBJzu/MbAiQD3zDg4dVufsRM/sasWc+7+jNgoJTZf+loJDeoCMLERFJSB3cIiKSkMJCREQSUliIiEhCCgsREUlIYSEiIgkpLEREJKH/D8uVHdFPtBSoAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4b8b7748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "alpha is: 4.915679395781344e-05\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>coef_lasso</th>\n",
       "      <th>coef_lr</th>\n",
       "      <th>coef_ridge</th>\n",
       "      <th>columns</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.704240</td>\n",
       "      <td>[0.7053785824226636]</td>\n",
       "      <td>[0.7008226899456687]</td>\n",
       "      <td>atemp</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.195960</td>\n",
       "      <td>[0.19617914585605623]</td>\n",
       "      <td>[0.1967301142350335]</td>\n",
       "      <td>season</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.026585</td>\n",
       "      <td>[0.02690812071901903]</td>\n",
       "      <td>[0.026811415601724065]</td>\n",
       "      <td>weekday</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.004280</td>\n",
       "      <td>[0.004312125431966022]</td>\n",
       "      <td>[0.004463600854263561]</td>\n",
       "      <td>workingday</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.044764</td>\n",
       "      <td>[-0.04660672266754001]</td>\n",
       "      <td>[-0.04611743784608491]</td>\n",
       "      <td>holiday</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.103197</td>\n",
       "      <td>[-0.10728797279241947]</td>\n",
       "      <td>[-0.10384602589327674]</td>\n",
       "      <td>hum</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>-0.171242</td>\n",
       "      <td>[-0.1739315098666776]</td>\n",
       "      <td>[-0.17169960934474027]</td>\n",
       "      <td>windspeed</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.188932</td>\n",
       "      <td>[-0.18803737475538637]</td>\n",
       "      <td>[-0.18899527519617632]</td>\n",
       "      <td>weathersit</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   coef_lasso                 coef_lr              coef_ridge     columns\n",
       "5    0.704240    [0.7053785824226636]    [0.7008226899456687]       atemp\n",
       "0    0.195960   [0.19617914585605623]    [0.1967301142350335]      season\n",
       "2    0.026585   [0.02690812071901903]  [0.026811415601724065]     weekday\n",
       "3    0.004280  [0.004312125431966022]  [0.004463600854263561]  workingday\n",
       "1   -0.044764  [-0.04660672266754001]  [-0.04611743784608491]     holiday\n",
       "6   -0.103197  [-0.10728797279241947]  [-0.10384602589327674]         hum\n",
       "7   -0.171242   [-0.1739315098666776]  [-0.17169960934474027]   windspeed\n",
       "4   -0.188932  [-0.18803737475538637]  [-0.18899527519617632]  weathersit"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mses = np.mean(lasso.mse_path_, axis = 1)\n",
    "plt.plot(np.log10(lasso.alphas_), mses) \n",
    "\n",
    "plt.xlabel('log(alpha)')\n",
    "plt.ylabel('mse')\n",
    "plt.show()    \n",
    "            \n",
    "print ('alpha is:', lasso.alpha_)\n",
    "\n",
    "# 看看各特征的权重系数，系数的绝对值大小可视为该特征的重要性\n",
    "fs = pd.DataFrame({\"columns\":list(columns), \"coef_lr\":list((lr.coef_.T)), \"coef_ridge\":list((ridge.coef_.T)), \"coef_lasso\":list((lasso.coef_.T))})\n",
    "fs.sort_values(by=['coef_lr'],ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cd4bc11320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "alpha is: 4.915679395781344e-05\n"
     ]
    }
   ],
   "source": [
    "mses = np.mean(lasso.mse_path_, axis = 1)\n",
    "plt.plot(np.log10(lasso.alphas_), mses) \n",
    "plt.xlabel('log(alpha)')\n",
    "plt.ylabel('mse')\n",
    "plt.show()    \n",
    "            \n",
    "print ('alpha is:', lasso.alpha_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "尝试二次拟合\n",
    "----------\n",
    "> 就感觉而言，我认为人体对外界的感知并不是线性的，在此尝试一下多项式拟合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of LassoCV on test is -0.5280207307813225\n",
      "The r2 score of LassoCV on train is 0.8517857179488691\n"
     ]
    }
   ],
   "source": [
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "from sklearn.pipeline import Pipeline\n",
    "from tempfile import mkdtemp\n",
    "\n",
    "cachedir = mkdtemp()\n",
    "\n",
    "poly = PolynomialFeatures(2)\n",
    "lr2 = LinearRegression()\n",
    "pl = Pipeline([('poly', poly), ('lr2', lr2)], memory = cachedir)\n",
    "pl.fit(X_train, Y_train_cnt)\n",
    "Y_train_cnt_poly = pl.predict(X_train)\n",
    "Y_test_cnt_poly = pl.predict(X_test)\n",
    "\n",
    "# 评估，使用r2_score评价模型在测试集和训练集上的性能\n",
    "print('The r2 score of LassoCV on test is', r2_score(Y_test_cnt, Y_test_cnt_poly))\n",
    "print('The r2 score of LassoCV on train is', r2_score(Y_train_cnt, Y_train_cnt_poly))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">## 评价\n",
    "> 基本没有改进，r2 score依旧是负的，说明模型还是“完全错误”"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
